EXHIBIT 24


                               POWER OF ATTORNEY
                              Unisys Corporation
                          Annual Report on Form 10-K
                     for the year ended December 31, 1998


     KNOW ALL MEN BY THESE PRESENTS, that each person whose signature appears
below does hereby make, constitute and appoint LAWRENCE A. WEINBACH, HAROLD S.
BARRON, ROBERT H. BRUST AND JANET BRUTSCHEA HAUGEN, and each one of them
severally, his true and lawful attorneys-in-fact and agents, for such person and
in such person's name, place and stead, to sign the Unisys Corporation Annual
Report on Form 10-K for the year ended December 31, 1998, and any and all
amendments thereto and to file such Annual Report on Form 10-K and any and all
amendments thereto with the Securities and Exchange Commission, and does hereby
grant unto such attorneys-in-fact and agents, and each of them, full power and
authority to do and perform each and every act and thing requisite or necessary
to be done in and about the premises, as fully to all intents and purposes as
said person might or could do in person, hereby ratifying and confirming all
that such attorney-in-fact and agents and each of them may lawfully do or cause
to be done by virtue hereof.

Dated:  February 18, 1999

/s/ J.P. Bolduc                              /s/ Edwin A. Huston
- -----------------------                      --------------------------
J. P. Bolduc                                 Edwin A. Huston
Director                                     Director


/s/ James J. Duderstadt                      /s/ Kenneth A. Macke
- -----------------------                      --------------------------
James J. Duderstadt                          Kenneth A. Macke
Director                                     Director


/s/ Henry C. Duques                          /s/ Theodore E. Martin
- -----------------------                      --------------------------
Henry C. Duques                              Theodore E. Martin
Director                                     Director


/s/ Gail D. Fosler                           /s/ Robert McClements, Jr.
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Gail D. Fosler                               Robert McClements, Jr.
Director                                     Director


/s/ Melvin R. Goodes                         /s/ Lawrence A. Weinbach
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Melvin R. Goodes                             Lawrence A. Weinbach
Director                                     Chairman of the Board,
                                             President
                                             and Chief Executive
                                             Officer; Director