WASHINGTON, D.C.  20549

                                    FORM 8-K

                                 CURRENT REPORT
                     Pursuant to Section 13 OR 15(d) of the
                        Securities Exchange Act of 1934

Date of Report (Date of Earliest Event Reported)               January 29, 2009

                               UNISYS CORPORATION
            (Exact Name of Registrant as Specified in its Charter)

   Delaware                           1-8729                    38-0387840
(State or Other              (Commission File Number)         (IRS Employer
Jurisdiction of                                             Identification No.)

                                  Unisys Way,
                         Blue Bell, Pennsylvania  19424
              (Address of Principal Executive Offices)  (Zip Code)

                                 (215) 986-4011
              (Registrant's telephone number, including area code)

Check the appropriate box below if the Form 8-K filing is intended to
simultaneously satisfy the filing obligation of the registrant under any of
the following provisions (see General Instruction A.2. below):

[ ]  Written communications pursuant to Rule 425 under the Securities Act
     (17 CFR 230.425)

[ ]  Soliciting material pursuant to Rule 14a-12 under the Exchange Act
     (17 CFR 240.14a-12)

[ ]  Pre-commencement communications pursuant to Rule 14d-2(b) under the
     Exchange Act (17 CFR 240.14d-2(b)

[ ]  Pre-commencement communications pursuant to Rule 13e-4(c) under the
     Exchange Act (17 CFR 240.13e-4(c))

Item 5.02.  Departure of Directors or Certain Officers; Election of Directors;
            Appointment of Certain Officers; Compensatory Arrangements of
            Certain Officers

In a Form 8-K dated October 2, 2008, Unisys Corporation disclosed that Greg J.
Baroni was no longer serving as senior vice president of the company and as
president of its Federal Systems business and that Mr. Baroni was leaving the
company.  On January 29, 2009, Mr. Baroni and Unisys finalized an agreement
setting forth the terms of Mr. Baroni's separation from the company.  The
agreement provides that Mr. Baroni's resignation as senior vice president and
as president of the Federal Systems business was effective October 3, 2008 and
that his resignation as an employee was effective October 13, 2008.  Pursuant
to the agreement, the company agreed to continue Mr. Baroni's base salary and
medical and dental benefits until April 13, 2009.  If Mr. Baroni obtains full-
time employment before that date, the medical and dental benefits will cease.
The agreement also provides that, in 2009, Mr. Baroni will remain eligible for
2008 financial counseling services in an amount of up to $5,000.  He will be
eligible to participate in an outplacement program for six months.  The
agreement includes non-disparagement and confidentiality provisions.   If Mr.
Baroni breaches any of these provisions, all compensation and benefits provided
to him under the agreement will cease, he will forfeit any rights he may have
in any stock options and immediately cease vesting in any restricted stock
units, and will be required to repay the company any salary continuation
payments made to him pursuant to the agreement.  The foregoing description is
qualified in its entirety by reference to the full text of the agreement, which
is filed as Exhibit 10 hereto.

Item 9.01.  Financial Statements and Exhibits

The following exhibit is being filed herewith:

10    Agreement between Unisys Corporation and Greg J. Baroni


     Pursuant to the requirements of the Securities Exchange Act of 1934, the
registrant has duly caused this report to be signed on its behalf by the
undersigned hereunto duly authorized.

                                                     UNISYS CORPORATION

Date: February 4, 2009                            By: /s/ Nancy Straus Sundheim
                                                      Nancy Straus Sundheim
                                                      Senior Vice President,
                                                      General Counsel and

                                 EXHIBIT INDEX

10          Agreement between Unisys Corporation and Greg J. Baroni