Exhibit 32.2
                                             (furnished as EDGAR Exhibit 99.4)


                     CERTIFICATION OF PERIODIC REPORT

I, Janet Brutschea Haugen, Senior Vice President and Chief Financial
Officer of Unisys Corporation (the "Company"), certify, pursuant to
Section 906 of the Sarbanes-Oxley Act of 2002, 18 U.S.C. Section 1350,
that:

(1)   the Quarterly Report on Form 10-Q of the Company for the quarterly
period ended June 30, 2003 (the "Report") fully complies with the
requirements of Section 13(a) of the Securities Exchange Act of 1934
(15 U.S.C. 78m); and

(2)   the information contained in the Report fairly presents, in all
material respects, the financial condition and results of operations of
the Company.


Dated: July 24, 2003



/s/ Janet Brutschea Haugen
- --------------------------
Janet Brutschea Haugen
Senior Vice President and
Chief Financial Officer


A signed original of this written statement required by Section 906 has been
provided to the Company and will be retained by the Company and furnished to
the Securities and Exchange Commission or its staff upon request.