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Proc-Type: 2001,MIC-CLEAR
Originator-Name: webmaster@www.sec.gov
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 TWSM7vrzLADbmYQaionwg5sDW3P6oaM5D3tdezXMm7z1T+B+twIDAQAB
MIC-Info: RSA-MD5,RSA,
 N1MKxThiToE+5pfBZ33/p8vh1YNI8zHxA2JOZ9sh4XewKGpISqFULoEo8nFG7aZ+
 Kzmy+kU9eJJlADq4E53dRg==

<SEC-DOCUMENT>0000746838-04-000023.txt : 20040120
<SEC-HEADER>0000746838-04-000023.hdr.sgml : 20040119
<ACCEPTANCE-DATETIME>20040120153127
ACCESSION NUMBER:		0000746838-04-000023
CONFORMED SUBMISSION TYPE:	4
PUBLIC DOCUMENT COUNT:		1
CONFORMED PERIOD OF REPORT:	20040116
FILED AS OF DATE:		20040120

REPORTING-OWNER:	

	OWNER DATA:	
		COMPANY CONFORMED NAME:			MARTIN THEODORE E
		CENTRAL INDEX KEY:			0001185125

	FILING VALUES:
		FORM TYPE:		4
		SEC ACT:		1934 Act
		SEC FILE NUMBER:	001-08729
		FILM NUMBER:		04532546

	MAIL ADDRESS:	
		STREET 1:		UNISYS CORP PO BOX 500
		STREET 2:		TOWNSHIP LINE & UNION METTING ROADS
		CITY:			BLUE BELL
		STATE:			PA
		ZIP:			19424-0001

ISSUER:		

	COMPANY DATA:	
		COMPANY CONFORMED NAME:			UNISYS CORP
		CENTRAL INDEX KEY:			0000746838
		STANDARD INDUSTRIAL CLASSIFICATION:	SERVICES-COMPUTER INTEGRATED SYSTEMS DESIGN [7373]
		IRS NUMBER:				380387840
		STATE OF INCORPORATION:			DE
		FISCAL YEAR END:			1231

	BUSINESS ADDRESS:	
		STREET 1:		UNISYS WAY
		CITY:			BLUE BELL
		STATE:			PA
		ZIP:			19424
		BUSINESS PHONE:		2159864011

	MAIL ADDRESS:	
		STREET 1:		TOWNSHIP LINE & UNION MEETING ROADS
		CITY:			BLUE BELL
		STATE:			PA
		ZIP:			19424

	FORMER COMPANY:	
		FORMER CONFORMED NAME:	BURROUGHS CORP /DE/
		DATE OF NAME CHANGE:	19861204
</SEC-HEADER>
<DOCUMENT>
<TYPE>4
<SEQUENCE>1
<FILENAME>edgardoc.xml
<DESCRIPTION>PRIMARY DOCUMENT
<TEXT>
<XML>
<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0201</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2004-01-16</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0000746838</issuerCik>
        <issuerName>UNISYS CORP</issuerName>
        <issuerTradingSymbol>UIS</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001185125</rptOwnerCik>
            <rptOwnerName>MARTIN THEODORE E</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>UNISYS CORPORATION</rptOwnerStreet1>
            <rptOwnerStreet2>UNISYS WAY</rptOwnerStreet2>
            <rptOwnerCity>BLUE BELL</rptOwnerCity>
            <rptOwnerState>PA</rptOwnerState>
            <rptOwnerZipCode>19424</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
            <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <derivativeTable>

        <derivativeTransaction>
            <securityTitle>
                <value>Phantom Stock Units/1-for-1</value>
                <footnoteId id="F1"/>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>0</value>
            </conversionOrExercisePrice>
            <transactionDate>
                <value>2004-01-16</value>
            </transactionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
                <footnoteId id="F2"/>
            </transactionCoding>
            <transactionAmounts>
                <transactionShares>
                    <value>63.735</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>15.69</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <exerciseDate>
                <footnoteId id="F3"/>
            </exerciseDate>
            <expirationDate>
                <footnoteId id="F3"/>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>63.735</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>37902.5856</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeTransaction>

    </derivativeTable>

    <footnotes>
        <footnote id="F1">Common stock-equivalent units (1-for-1).</footnote>
        <footnote id="F2">Phantom stock units acquired under the terms and provisions of the Deferred Compensation Plan for Directors of Unisys Corporation and the Unisys Corporation Director Stock Unit Plan.</footnote>
        <footnote id="F3">Payment of stock units commences as of the Director's termination of service as a member of the Board under the terms and provisions of the Deferred Compensation Plan for Directors of Unisys Corporation and the Unisys Corporation Director Stock Unit Plan.</footnote>
    </footnotes>

    <ownerSignature>
        <signatureName>By: Susan T. Keene, attorney-in-fact  For: Theodore E. Martin</signatureName>
        <signatureDate>2004-01-20</signatureDate>
    </ownerSignature>

</ownershipDocument>

</XML>
</TEXT>
</DOCUMENT>
</SEC-DOCUMENT>
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