POWER OF ATTORNEY FOR EXECUTING FORMS 3, 4 and 5


     Know all by these presents, that the undersigned hereby constitutes and
appoints each of Mary Kay Gould, Susan T. Keene and Nancy Straus Sundheim
signing singly, his/her true and lawful attorney-in-fact, in regard to
ownership of securities for Unisys Corporation, to:

(1)   execute for and on behalf of the undersigned Forms 3, 4 and 5 in
accordance with Section 16(a) of the Securities Exchange Act of 1934 and
the rules thereunder;

(2)   do and perform any and all acts for and on behalf of the undersigned
which may be necessary or desirable to complete the execution of any such Form
3, 4 or 5 and the timely filing of such form with the United States Securities
and Exchange Commission and any other authority; and

(3)   take any other action of any type whatsoever in connection with the
foregoing which, in the opinion of such attorney-in-fact, may be of benefit to,
in the best interest of, or legally required by, the undersigned, it being
understood that the documents executed by such attorney-in-fact on behalf of
the undersigned pursuant to this Power of Attorney shall be in such form and
shall contain such terms and conditions as such attorney-in-fact may approve in
her discretion.

     The undersigned hereby grants to each such attorney-in-fact full power and
authority to do and perform all and every act and thing whatsoever requisite,
necessary and proper to be done in the exercise of any of the rights and powers
herein granted, as fully to all intents and purposes as such attorney-in-fact
might or could do if personally present, with full power of substitution or
revocation, hereby ratifying and confirming all that such attorney-in-fact, or
his/her substitute or substitutes, shall lawfully do or cause to be done by
virtue of this power of attorney and rights and powers herein granted.  The
undersigned acknowledges that the foregoing attorneys-in-fact, in serving in
such capacity at the request of the undersigned, are not assuming any of the
undersigned's responsibilities to comply with Section 16 of the Securities
Exchange Act of 1934.

     IN WITNESS WHEREOF, the undersigned has caused this Power of Attorney to
be executed as of this 3rd day of January 2005



/s/  Patricia A. Bradford
Patricia A. Bradford