Ownership Submission
FORM 3
 UNITED STATES SECURITIES AND EXCHANGE COMMISSION
Washington, D.C. 20549

INITIAL STATEMENT OF BENEFICIAL OWNERSHIP OF SECURITIES

Filed pursuant to Section 16(a) of the Securities Exchange Act of 1934, Section 17(a) of the Public Utility Holding Company Act of 1935 or Section 30(h) of the Investment Company Act of 1940
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(Print or Type Responses)
1. Name and Address of Reporting Person *
  BRADFORD PATRICIA A
 2. Date of Event Requiring Statement (Month/Day/Year)
01/01/2005		 3. Issuer Name and Ticker or Trading Symbol
UNISYS CORP [UIS]
(Last)
(First)
(Middle)
UNISYS CORPORATION, UNISYS WAY		 4. Relationship of Reporting Person(s) to Issuer
(Check all applicable)
_____ Director _____ 10% Owner
__X__ Officer (give title below) _____ Other (specify below)
VP, Worldwide Human Resources
 5. If Amendment, Date Original Filed(Month/Day/Year)
(Street)

BLUE BELL, PA 19424		 6. Individual or Joint/Group Filing(Check Applicable Line)
_X_ Form filed by One Reporting Person
___ Form filed by More than One Reporting Person
(City)
(State)
(Zip)
Table I - Non-Derivative Securities Beneficially Owned
1.Title of Security
(Instr. 4)		 2. Amount of Securities Beneficially Owned
(Instr. 4)		 3. Ownership Form: Direct (D) or Indirect (I)
(Instr. 5)		 4. Nature of Indirect Beneficial Ownership
(Instr. 5)
Common Stock 3,673.3541
D
 
Common Stock 3
I
by Spouse (1)
Common Stock 2,088.591
I
by USP Trust (2)

Reminder: Report on a separate line for each class of securities beneficially owned directly or indirectly. SEC 1473 (7-02)
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Table II - Derivative Securities Beneficially Owned (e.g., puts, calls, warrants, options, convertible securities)
1. Title of Derivative Security
(Instr. 4)		 2. Date Exercisable and Expiration Date
(Month/Day/Year)		 3. Title and Amount of Securities Underlying Derivative Security
(Instr. 4)		 4. Conversion or Exercise Price of Derivative Security 5. Ownership Form of Derivative Security: Direct (D) or Indirect (I)
(Instr. 5)		 6. Nature of Indirect Beneficial Ownership
(Instr. 5)
Date Exercisable Expiration Date Title Amount or Number of Shares
Stock Option (right to buy) 04/24/1997(3) 04/24/2006 Common Stock 5,500 $ 6.25 D  
Stock Option (right to buy) 04/23/1998(4) 04/23/2007 Common Stock 5,500 $ 6.25 D  
Stock Option (right to buy) 02/13/2004(5) 02/13/2013 Common Stock 20,000 $ 8.415 D  
Stock Option (right to buy) 04/26/1996(6) 04/26/2005 Common Stock 1,500 $ 10.1875 D  
Stock Option (right to buy) 02/14/2003(7) 02/14/2012 Common Stock 16,000 $ 12.105 D  
Stock Option (right to buy) 02/11/2005(8) 02/11/2014 Common Stock 15,000 $ 14.27 D  
Stock Option (right to buy) 02/15/2002(9) 02/15/2011 Common Stock 14,000 $ 18.57 D  
Stock Option (right to buy) 04/22/1999(10) 04/22/2008 Common Stock 6,000 $ 22.7188 D  
Stock Option (right to buy) 04/22/2000(11) 04/22/2009 Common Stock 10,000 $ 30.1875 D  
Stock Option (right to buy) 02/17/2001(12) 02/17/2010 Common Stock 11,000 $ 34.125 D  

Reporting Owners

Reporting Owner Name / Address Relationships
Director 10% Owner Officer Other
BRADFORD PATRICIA A
UNISYS CORPORATION
UNISYS WAY
BLUE BELL, PA 19424		       VP, Worldwide Human Resources  

Signatures

Patricia A. Bradford 01/06/2005
**Signature of Reporting Person Date

Explanation of Responses:

* If the form is filed by more than one reporting person, see Instruction 5(b)(v).
** Intentional misstatements or omissions of facts constitute Federal Criminal Violations. See 18 U.S.C. 1001 and 15 U.S.C. 78ff(a).
(1) Indirect by spouse. Beneficial ownership expressly disclaimed.
(2) Unisys Savings Plan balance as of December 31, 2004.
(3) Stock option granted under Rule 16b-3 Unisys Corporation 1990 Long-Term Incentive Plan. The stock option is exercisable in four equal annual installments beginning on April 24, 1997.
(4) Stock option granted under Rule 16b-3 Unisys Corporation 1990 Long-Term Incentive Plan. The stock option is exercisable in four equal annual installments beginning on April 23, 1998.
(5) Stock option granted under Rule 16b-3 Unisys Corporation 2002 Stock Option Plan. The stock option is exercisable in four equal annual installments beginning on February 13, 2004.
(6) Stock option granted under Rule 16b-3 Unisys Corporation 1990 Long-Term Incentive Plan. The stock option is exercisable in four equal annual installments beginning on April 26, 1996.
(7) Stock option granted under Rule 16b-3 Unisys Corporation 2002 Stock Option Plan. The stock option is exercisable in four equal annual installments beginning on February 14, 2003.
(8) Stock option granted under Rule 16b-3 Unisys Corporation 2003 Long-Term Incentive and Equity Compensation Plan. The stock option is exercisable in four equal annual installments beginning on February 11, 2005.
(9) Stock option granted under Rule 16b-3 Unisys Corporation 1990 Long-Term Incentive Plan. The stock option is exercisable in four equal annual installments beginning on February 15, 2002.
(10) Stock option granted under Rule 16b-3 Unisys Corporation 1990 Long-Term Incentive Plan. The stock option is exercisable in four equal annual installments beginning on April 22, 1999.
(11) Stock option granted under Rule 16b-3 Unisys Corporation 1990 Long-Term Incentive Plan. The stock option is exercisable in four equal annual installments beginning on April 22, 2000.
(12) Stock option granted under Rule 16b-3 Unisys Corporation 1990 Long-Term Incentive Plan. The stock option is exercisable in four equal annual installments beginning on February 17, 2001.

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