Page 1 of 17

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                                  UNITED STATES
                       SECURITIES AND EXCHANGE COMMISSION
                             WASHINGTON, D.C. 20549

                                  SCHEDULE 13G

                    UNDER THE SECURITIES EXCHANGE ACT OF 1934

                        (AMENDMENT NO.   5             ) *
                                        --------------

                               UNISYS CORPORATION
--------------------------------------------------------------------------------
                                (Name of Issuer)

                                     COMMON
--------------------------------------------------------------------------------
                         (Title of Class of Securities)

                                    909214108
--------------------------------------------------------------------------------
                                 (CUSIP Number)

                                  June 30, 2004
--------------------------------------------------------------------------------
             (Date of Event Which Requires Filing of this Statement)

Check the appropriate box to designate the rule pursuant to which this Schedule
is filed:

     [X]  Rule 13d-1 (b)

     [ ]  Rule 13d-1(c)

     [ ]  Rule 13d-1(d)

* The remainder of this cover page shall be filled out for a reporting person's
initial filing on this form with respect to the subject class of securities, and
for any subsequent amendment containing information which would alter the
disclosures provided in a prior cover page.

The information required in the remainder of this cover page shall not be deemed
to be "filed" for the purpose of Section 18 of the Securities Exchange Act of
1934 ("Act") or otherwise subject to the liabilities of that section of the ACT
but shall be subject to all other provisions of the Act (however, see the
Notes).

SEC 1745 (3-98)


<PAGE>

                                                                    Page 2 of 17

CUSIP No. 909214108
--------------------------------------------------------------------------------
1.   Names of Reporting Persons.        Brandes Investment Partners, LLC
     I.R.S. Identification Nos. of above persons (entities only).   33-0704072

--------------------------------------------------------------------------------
2.   Check the Appropriate Box if a Member of a Group (See Instructions)

     (a)  [ ]
     (b)  [ ]
--------------------------------------------------------------------------------
3.   SEC Use Only

--------------------------------------------------------------------------------
4.   Citizenship or Place of Organization         Delaware

--------------------------------------------------------------------------------
Number of         5    Sole Voting Power
Shares            --------------------------------------------------------------
Beneficially      6    Shared Voting Power        25,224,437
Owned             --------------------------------------------------------------
By Each           7    Sole Dispositive Power
Reporting         --------------------------------------------------------------
Person            8    Shared Dispositive Power   33,566,277
with:
--------------------------------------------------------------------------------
9.   Aggregate Amount Beneficially Owned by Each Reporting Person

     33,566,277
--------------------------------------------------------------------------------
10.  Check if the Aggregate Amount in Row (9) Excludes Certain Shares (See
     Instructions)                                                    [ ]

--------------------------------------------------------------------------------
11.  Percent of Class Represented by Amount in Row (9)

     10.1%
--------------------------------------------------------------------------------
12.  Type of Reporting Person (See Instructions)

     IA, PN
--------------------------------------------------------------------------------


<PAGE>

                                                                    Page 3 of 17

CUSIP No. 909214108
--------------------------------------------------------------------------------
1.   Names of Reporting Persons.        Brandes Investment Partners, Inc.
     I.R.S. Identification Nos. of above persons (entities only).  33-0090873

--------------------------------------------------------------------------------
2.   Check the Appropriate Box if a Member of a Group (See Instructions)

     (a)  [ ]
     (b)  [ ]
--------------------------------------------------------------------------------
3.   SEC Use Only

--------------------------------------------------------------------------------
4.   Citizenship or Place of Organization         California

--------------------------------------------------------------------------------
Number of         5    Sole Voting Power
Shares            --------------------------------------------------------------
Beneficially      6    Shared Voting Power        25,224,437
Owned             --------------------------------------------------------------
By Each           7    Sole Dispositive Power
Reporting         --------------------------------------------------------------
Person            8    Shared Dispositive Power   33,566,277
with:
--------------------------------------------------------------------------------
9.   Aggregate Amount Beneficially Owned by Each Reporting Person

     33,566,277 shares are deemed to be beneficially owned by Brandes Investment
     Partners, Inc., as a control person of the investment adviser. Brandes
     Investment Partners, Inc. disclaims any direct ownership of the shares
     reported in this Schedule 13G, except for an amount that is substantially
     less than one per cent of the number of shares reported herein.
--------------------------------------------------------------------------------
10.  Check if the Aggregate Amount in Row (9) Excludes Certain Shares (See
     Instructions)                                                    [ ]

--------------------------------------------------------------------------------
11.  Percent of Class Represented by Amount in Row (9)

     10.1%
--------------------------------------------------------------------------------
12.  Type of Reporting Person (See Instructions)

     CO, OO (Control Person)
--------------------------------------------------------------------------------


<PAGE>

                                                                    Page 4 of 17

CUSIP No. 909214108
--------------------------------------------------------------------------------
1.   Names of Reporting Persons.        Brandes Worldwide Holdings, L.P.
     I.R.S. Identification Nos. of above persons (entities only).  33-0836630

--------------------------------------------------------------------------------
2.   Check the Appropriate Box if a Member of a Group (See Instructions)

     (a)  [ ]
     (b)  [ ]
--------------------------------------------------------------------------------
3.   SEC Use Only

--------------------------------------------------------------------------------
4.   Citizenship or Place of Organization         Delaware

--------------------------------------------------------------------------------
Number of         5    Sole Voting Power
Shares            --------------------------------------------------------------
Beneficially      6    Shared Voting Power        25,224,437
Owned             --------------------------------------------------------------
By Each           7    Sole Dispositive Power
Reporting         --------------------------------------------------------------
Person            8    Shared Dispositive Power   33,566,277
with:
--------------------------------------------------------------------------------
9.   Aggregate Amount Beneficially Owned by Each Reporting Person

     33,566,277 shares are deemed to be beneficially owned by Brandes Worldwide
     Holdings, L.P., as a control person of the investment adviser. Brandes
     Worldwide Holdings, L.P. disclaims any direct ownership of the shares
     reported in this Schedule 13G.
--------------------------------------------------------------------------------
10.  Check if the Aggregate Amount in Row (9) Excludes Certain Shares (See
     Instructions)                                                    [ ]

--------------------------------------------------------------------------------
11.  Percent of Class Represented by Amount in Row (9)

     10.1%
--------------------------------------------------------------------------------
12.  Type of Reporting Person (See Instructions)

     PN, OO (Control Person)
--------------------------------------------------------------------------------


<PAGE>

                                                                    Page 5 of 17

CUSIP No. 909214108
--------------------------------------------------------------------------------
1.   Names of Reporting Persons.        Charles H. Brandes
     I.R.S. Identification Nos. of above persons (entities only).

--------------------------------------------------------------------------------
2.   Check the Appropriate Box if a Member of a Group (See Instructions)

     (a)  [ ]
     (b)  [ ]
--------------------------------------------------------------------------------
3.   SEC Use Only

--------------------------------------------------------------------------------
4.   Citizenship or Place of Organization         USA

--------------------------------------------------------------------------------
Number of         5    Sole Voting Power
Shares            --------------------------------------------------------------
Beneficially      6    Shared Voting Power        25,224,437
Owned             --------------------------------------------------------------
By Each           7    Sole Dispositive Power
Reporting         --------------------------------------------------------------
Person            8    Shared Dispositive Power   33,566,277
with:
--------------------------------------------------------------------------------
9.   Aggregate Amount Beneficially Owned by Each Reporting Person

     33,566,277 shares are deemed to be beneficially owned by Charles H.
     Brandes, a control person of the investment adviser. Mr. Brandes disclaims
     any direct ownership of the shares reported in this Schedule 13G, except
     for an amount that is substantially less than one per cent of the number of
     shares reported herein.
--------------------------------------------------------------------------------
10.  Check if the Aggregate Amount in Row (9) Excludes Certain Shares (See
     Instructions)                                                    [ ]

--------------------------------------------------------------------------------
11.  Percent of Class Represented by Amount in Row (9)

     10.1%
--------------------------------------------------------------------------------
12.  Type of Reporting Person (See Instructions)

     IN, OO (Control Person)
--------------------------------------------------------------------------------


<PAGE>

                                                                    Page 6 of 17

CUSIP No. 909214108
--------------------------------------------------------------------------------
1.   Names of Reporting Persons.        Glenn R. Carlson
     I.R.S. Identification Nos. of above persons (entities only).

--------------------------------------------------------------------------------
2.   Check the Appropriate Box if a Member of a Group (See Instructions)

     (a)  [ ]
     (b)  [ ]
--------------------------------------------------------------------------------
3.   SEC Use Only

--------------------------------------------------------------------------------
4.   Citizenship or Place of Organization         USA

--------------------------------------------------------------------------------
Number of         5    Sole Voting Power
Shares            --------------------------------------------------------------
Beneficially      6    Shared Voting Power        25,224,437
Owned             --------------------------------------------------------------
By Each           7    Sole Dispositive Power
Reporting         --------------------------------------------------------------
Person            8    Shared Dispositive Power   33,566,277
with:
--------------------------------------------------------------------------------
9.   Aggregate Amount Beneficially Owned by Each Reporting Person

     33,566,277 shares are deemed to be beneficially owned by Glenn R. Carlson,
     a control person of the investment adviser. Mr. Carlson disclaims any
     direct ownership of the shares reported in this Schedule 13G, except for an
     amount that is substantially less than one per cent of the number of shares
     reported herein.
--------------------------------------------------------------------------------
10.  Check if the Aggregate Amount in Row (9) Excludes Certain Shares (See
     Instructions)                                                    [ ]

--------------------------------------------------------------------------------
11.  Percent of Class Represented by Amount in Row (9)

     10.1%
--------------------------------------------------------------------------------
12.  Type of Reporting Person (See Instructions)

     IN, OO (Control Person)
--------------------------------------------------------------------------------


<PAGE>

                                                                    Page 7 of 17

CUSIP No. 909214108
--------------------------------------------------------------------------------
1.   Names of Reporting Persons.        Jeffrey A. Busby
     I.R.S. Identification Nos. of above persons (entities only).

--------------------------------------------------------------------------------
2.   Check the Appropriate Box if a Member of a Group (See Instructions)

     (a)  [ ]
     (b)  [ ]
--------------------------------------------------------------------------------
3.   SEC Use Only

--------------------------------------------------------------------------------
4.   Citizenship or Place of Organization         USA

--------------------------------------------------------------------------------
Number of         5    Sole Voting Power
Shares            --------------------------------------------------------------
Beneficially      6    Shared Voting Power        25,224,437
Owned             --------------------------------------------------------------
By Each           7    Sole Dispositive Power
Reporting         --------------------------------------------------------------
Person            8    Shared Dispositive Power   33,566,277
with:
--------------------------------------------------------------------------------
9.   Aggregate Amount Beneficially Owned by Each Reporting Person

     33,566,277 shares are deemed to be beneficially owned by Jeffrey A. Busby,
     a control person of the investment adviser. Mr. Busby disclaims any direct
     ownership of the shares reported in this Schedule 13G, except for an amount
     that is substantially less than one per cent of the number of shares
     reported herein.
--------------------------------------------------------------------------------
10.  Check if the Aggregate Amount in Row (9) Excludes Certain Shares (See
     Instructions)                                                    [ ]

--------------------------------------------------------------------------------
11.  Percent of Class Represented by Amount in Row (9)

     10.1%
--------------------------------------------------------------------------------
12.  Type of Reporting Person (See Instructions)

     IN, OO (Control Person)
--------------------------------------------------------------------------------


<PAGE>

                                                                    Page 8 of 17
Item 1(a) Name of Issuer:

          Unisys Corporation

Item 1(b) Address of Issuer's Principal Executive Offices:

          Unisys Way, Blue Bell, PA  19424

Item 2(a) Name of Person Filing:

          (i)   Brandes Investment Partners, LLC

          (ii)  Brandes Investment Partners, Inc.

          (iii) Brandes Worldwide Holdings, L.P.

          (iv)  Charles H. Brandes

          (v)   Glenn R. Carlson

          (vi)  Jeffrey A. Busby

Item 2(b) Address of Principal Business office or, if None, Residence:

          (i)   11988 El Camino Real, Suite 500, San Diego, CA  92130

          (ii)  11988 El Camino Real, Suite 500, San Diego, CA  92130

          (iii) 11988 El Camino Real, Suite 500, San Diego, CA 92130

          (iv)  11988 El Camino Real, Suite 500, San Diego, CA  92130

          (v)   11988 El Camino Real, Suite 500, San Diego, CA  92130

          (vi)  11988 El Camino Real, Suite 500, San Diego, CA  92130

Item 2(c) Citizenship

          (i)   Delaware

          (ii)  California

          (iii) Delaware

          (iv)  USA

          (v)   USA

          (vi)  USA


<PAGE>

                                                                    Page 9 of 17

Item 2(d) Title of Class Securities:

          Common

Item 2(e) CUSIP Number:

          909214108

Item 3.   If this statement is filed pursuant to ss.ss. 240.13d-1(b), or
          240.13d-2(b) or (c), check whether the person filing is a:

          (a)  |_|  Broker or dealer registered under section 15 of the Act (15
                    U.S.C. 78o).
          (b)  |_|  Bank as defined in section 3(a)(6) of the Act (15 U.S.C.
                    78c).
          (c)  |_|  Insurance company as defined in section 3(a)(19) of the Act
                    (15 U.S.C. 78c).
          (d)  |_|  Investment company registered under section 8 of the
                    Investment Company Act (15 U.S.C. 80a-8).
          (e)  |_|  An investment adviser in accordance with ss.
                    240.13d-1(b)(1)(ii)(E).
          (f)  |_|  An employee benefit plan or endowment fund in accordance
                    with ss. 240.13d-1(b)(ii)(F).
          (g)  |_|  A parent holding company or control person in accordance
                    with ss. 240.13d-1(b)(1)(ii)(G).
          (h)  |_|  A savings association as defined in Section 3(b) of the
                    Federal Deposit Insurance Act (12 U.S.C. 1813).
          (i)  |_|  A church plan that is excluded from the definition of an
                    investment company under section 3(c)(14) of the Investment
                    Company Act of 1940 (15 U.S.C. 80a-3).
          (j)  |X|  Group, in accordance with ss. 240.13d-1(b)(1)(ii)(J).

          This statement is filed by Brandes Investment Partners, LLC, an
          investment adviser registered under the Investment Advisers Act of
          1940, its control persons and its holding company. (See, also,
          Exhibit A.)

Item 4.   Ownership:

          (a)   Amount Beneficially Owned: 33,566,277

          (b)   Percent of Class: 10.1%

          (c)   Number of shares as to which the joint filers have:

                (i)   sole power to vote or to direct the vote:   0
                                                                -----
                (ii)  shared power to vote or to direct the vote: 25,224,437
                                                                 ------------
                (iii) sole power to dispose or to direct the disposition of:  0
                                                                            ----
                (iv)  shared power to dispose or to direct the disposition
                      of: 33,566,277
                         ------------

<PAGE>

                                                                   Page 10 of 17

Item 5.   Ownership of Five Percent or Less of a Class.

          If this statement is being filed to report the fact that as of the
          date hereof the reporting person has ceased to be the beneficial
          owner of more than five percent of the class securities, check the
          following |_|. N/A

Item 6.   Ownership of More than Five Percent on Behalf of Another Person.

          N/A

Item 7.   Identification and Classification of the Subsidiary Which Acquired the
          Security Being Reported on By the Parent Holding Company.

          N/A

Item 8.   Identification and Classification of Members of the Group.

          SEE EXHIBIT A

Item 9.   Notice of Dissolution of Group.

          N/A

Item 10.  Certification:

          (a)  The following certification shall be included if the statement is
               filed pursuant to ss. 240.13d-1(b):

               By signing below I certify that, to the best of my knowledge and
               belief, the securities referred to above were acquired and held
               in the ordinary course of business and were not acquired and are
               not held for the purpose of or with the effect of changing or
               influencing the control of the issuer of the securities and were
               not acquired and are not held in connection with or as a
               participant in any transaction having that purpose or effect.


                                    SIGNATURE

After reasonable inquiry and to the best of my knowledge and belief, I certify
that the information set forth in this statement is true, complete and correct.

Date:  July 12, 2004
                                        BRANDES INVESTMENT PARTNERS, LLC

                                        By: /s/ Adelaide Pund
                                            ------------------------------------
                                            Adelaide Pund as Attorney-In-Fact
                                            for Charles H. Brandes, President of
                                            Brandes Investment Partners, Inc.,
                                            a Member


<PAGE>

                                                                   Page 11 of 17

                                        BRANDES INVESTMENT PARTNERS, INC.

                                        By: /s/ Adelaide Pund
                                            ------------------------------------
                                            Adelaide Pund as Attorney-In-Fact
                                            for Charles H. Brandes, President


                                        BRANDES WORLDWIDE HOLDINGS, L.P.

                                        By: /s/ Adelaide Pund
                                            ------------------------------------
                                            Adelaide Pund as Attorney-In-Fact
                                            for Charles H. Brandes, President of
                                            Brandes Investment Partners, Inc.,
                                            its General Partner


                                        By: /s/ Adelaide Pund
                                            ------------------------------------
                                            Adelaide Pund as Attorney-In-Fact
                                            for Charles H. Brandes, Control
                                            Person


                                        By: /s/ Adelaide Pund
                                            ------------------------------------
                                            Adelaide Pund as Attorney-In-Fact
                                            for Glenn R. Carlson, Control Person


                                        By: /s/ Adelaide Pund
                                            ------------------------------------
                                            Adelaide Pund as Attorney-In-Fact
                                            for Jeffrey A. Busby, Control Person


<PAGE>

                                                                   Page 12 of 17

EXHIBIT A
        -

            IDENTIFICATION AND CLASSIFICATION OF MEMBERS OF THE GROUP
            ---------------------------------------------------------

Pursuant to Rule 13d-1(b)(ii)(J) and Rule 13d-1(k)(1) under the Securities and
Exchange Act of 1934, the members of the group making this joint filing are
identified and classified as follows:

              NAME                                  CLASSIFICATION
              ----                                  --------------

Brandes Investment Partners, LLC      Investment adviser registered under
(the "Investment Adviser")            Investment Advisers Act of 1940

Brandes Investment Partners, Inc.     A control person of the Investment Adviser

Brandes Worldwide Holdings, L.P.      A control person of the Investment Adviser

Charles H. Brandes                    A control person of the Investment Adviser

Glenn R. Carlson                      A control person of the Investment Adviser

Jeffrey A. Busby                      A control person of the Investment Adviser


<PAGE>

                                                                   Page 13 of 17

EXHIBIT B
        -

                  JOINT FILING AGREEMENT PURSUANT TO RULE 13D-1
                  ---------------------------------------------

This agreement is made pursuant to Rule 13d-1(b)(ii)(J) and Rule 13d-1(k)(1)
under the Securities and Exchange Act of 1934 (the "Act") by and among the
parties listed below, each referred to herein as a "Joint Filer." The Joint
Filers agree that a statement of beneficial ownership as required by Sections
13(g) or 13(d) of the Act and the Rules thereunder may be filed on each of their
behalf on Schedule 13G or Schedule 13D, as appropriate, and that said joint
filing may thereafter be amended by further joint filings. The Joint Filers
state that they each satisfy the requirements for making a joint filing under
Rule 13d-1.

Dated:  February 14, 2003

                                        BRANDES INVESTMENT PARTNERS, LLC

                                        By: /s/ Charles H. Brandes
                                            ------------------------------------
                                            Charles H. Brandes, President of
                                            Brandes Investment Partners, Inc.,
                                            a Member


                                        BRANDES INVESTMENT PARTNERS, INC.

                                        By: /s/ Charles H. Brandes
                                            ------------------------------------
                                            Charles H. Brandes, President


                                        BRANDES WORLDWIDE HOLDINGS, L.P.

                                        By: /s/ Charles H. Brandes
                                            ------------------------------------
                                            Charles H. Brandes, President of
                                            Brandes Investment Partners, Inc.,
                                            its General Partner


                                        By: /s/ Charles H. Brandes
                                            ------------------------------------
                                            Charles H. Brandes, Control Person


                                        By: /s/ Glenn R. Carlson
                                            ------------------------------------
                                            Glenn R. Carlson, Control Person


                                        By: /s/ Jeffrey A. Busby
                                            ------------------------------------
                                            Jeffrey A. Busby, Control Person


<PAGE>

                                                                   Page 14 of 17

EXHIBIT C
        -

                       DISCLAIMER OF BENEFICIAL OWNERSHIP
                       ----------------------------------

Brandes Investment Partners, Inc., Brandes Worldwide Holdings, L.P., Charles H.
Brandes, Glenn R. Carlson and Jeffrey A. Busby, disclaim beneficial interest as
to the shares referenced above, except for an amount equal to substantially less
than one percent of the shares reported on this Schedule 13G. None of these
entities or individuals holds the above-referenced shares for its/his own
account except on a de minimis basis.


<PAGE>

                                                                   Page 15 of 17

EXHIBIT D
        -


                              POWER OF ATTORNEY FOR
                           SCHEDULES 13G AND FORMS 13F

I, Charles Brandes, as director and president of Brandes Investment Partners,
Inc., which is a General Partner of Brandes Worldwide Holdings, L.P., and which
is also a member of Brandes Investment Partners, LLC, hereby appoint Ian N. Rose
and Adelaide Pund as attorneys-in-fact and agents, in all capacities, to
execute, on my behalf and on behalf of Brandes Investment Partners, Inc.,
Brandes Investment Partners, LLC, and Brandes Worldwide Holdings, L.P., to file
with the appropriate issuers, exchanges and regulatory authorities, any and all
Schedules 13G and Forms 13F and documents relating thereto required to be filed
under the Securities and Exchange Act of 1934, including exhibits, attachments
and amendments thereto and request for confidential treatment of information
contained therein in connection with my being a "control person" (as
contemplated for purposes of Schedule 13G and Form 13F) of Brandes Investment
Partners, LLC, its subsidiaries and affiliates. I hereby grant to said
attorneys-in-fact full authority to do every act necessary to be done in order
to effectuate the same as fully, to all intents and purposes, as I could if
personally present, thereby ratifying all that said attorneys-in-fact and agents
may lawfully do or cause to be done by virtue hereof.

I hereby execute this Power of Attorney as of this 17th day of February 2004.


                                            /s/ Charles H. Brandes
                                            -----------------------------
                                            Charles H. Brandes


<PAGE>

EXHIBIT D
        -

                       POWER OF ATTORNEY FOR SCHEDULES 13G

I, Glenn R. Carlson, hereby appoint Ian N. Rose and Adelaide Pund as
attorneys-in-fact and agents, in all capacities, to execute, on my behalf, and
to file with the appropriate issuers, exchanges and regulatory authorities, any
and all Schedules 13G and documents relating thereto required to be filed under
the Securities and Exchange Act of 1934, including exhibits, attachments and
amendments thereto and request for confidential treatment of information
contained therein in connection with my being a "control person" (as
contemplated for purposes of Schedule 13G) of Brandes Investment Partners, LLC,
its subsidiaries and affiliates. I hereby grant to said attorneys-in-fact full
authority to do every act necessary to be done in order to effectuate the same
as fully, to all intents and purposes, as I could if personally present, thereby
ratifying all that said attorneys-in-fact and agents may lawfully do or cause to
be done by virtue hereof.

I hereby execute this Power of Attorney as of this 17th day of February 2004.


                                            /s/ Glenn R. Carlson
                                            -----------------------------
                                            Glenn R. Carlson


<PAGE>

                                                                   Page 17 of 17

EXHIBIT D
        -

                       POWER OF ATTORNEY FOR SCHEDULES 13G

I, Jeffrey A. Busby hereby appoint Ian N. Rose and Adelaide Pund as
attorneys-in-fact and agents, in all capacities, to execute, on my behalf, and
to file with the appropriate issuers, exchanges and regulatory authorities, any
and all Schedules 13G and documents relating thereto required to be filed under
the Securities and Exchange Act of 1934, including exhibits, attachments and
amendments thereto and request for confidential treatment of information
contained therein in connection with my being a "control person" (as
contemplated for purposes of Schedule 13G) of Brandes Investment Partners, LLC,
its subsidiaries and affiliates. I hereby grant to said attorneys-in-fact full
authority to do every act necessary to be done in order to effectuate the same
as fully, to all intents and purposes, as I could if personally present, thereby
ratifying all that said attorneys-in-fact and agents may lawfully do or cause to
be done by virtue hereof.

I hereby execute this Power of Attorney as of this 17th day of February 2004.


                                            /s/ Jeffrey A. Busby
                                            -----------------------------
                                            Jeffrey A. Busby