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Proc-Type: 2001,MIC-CLEAR
Originator-Name: webmaster@www.sec.gov
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MIC-Info: RSA-MD5,RSA,
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 JxwqIQEhbukoTJTRHZ1Ryw==

<SEC-DOCUMENT>0000746838-04-000166.txt : 20040504
<SEC-HEADER>0000746838-04-000166.hdr.sgml : 20040504
<ACCEPTANCE-DATETIME>20040504171142
ACCESSION NUMBER:		0000746838-04-000166
CONFORMED SUBMISSION TYPE:	4
PUBLIC DOCUMENT COUNT:		1
CONFORMED PERIOD OF REPORT:	20040503
FILED AS OF DATE:		20040504

REPORTING-OWNER:	

	OWNER DATA:	
		COMPANY CONFORMED NAME:			JONES CLAYTON M
		CENTRAL INDEX KEY:			0001191566

	FILING VALUES:
		FORM TYPE:		4
		SEC ACT:		1934 Act
		SEC FILE NUMBER:	001-08729
		FILM NUMBER:		04778551

	MAIL ADDRESS:	
		STREET 1:		400 COLLINS ROAD NE
		CITY:			CEDAR RAPIDS
		STATE:			IA
		ZIP:			52498

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>X0202</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2004-05-03</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

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

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001191566</rptOwnerCik>
            <rptOwnerName>JONES CLAYTON M</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>2004-05-03</value>
            </transactionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
                <footnoteId id="F2"/>
            </transactionCoding>
            <transactionAmounts>
                <transactionShares>
                    <value>192.012</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>13.02</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>192.012</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>540.326</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 Unisys Corporation 2003 Long-Term Incentive and Equity Compensation Plan and deferred in accordance with the Deferred Compensation Plan for Directors of Unisys Corporation.</footnote>
        <footnote id="F3">The phantom stock units are payable in Unisys common stock, either upon termination of service or on any date at least five years (two years for stock units awarded after January 1, 2001) after the stock units are awarded, at the director's option, under the terms and provisions of the Deferred Compensation Plan for Directors of Unisys Corporation.</footnote>
    </footnotes>

    <ownerSignature>
        <signatureName>By: Susan T. Keene, attorney-in-fact  For: Clayton M. Jones</signatureName>
        <signatureDate>2004-05-04</signatureDate>
    </ownerSignature>
</ownershipDocument>

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