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Proc-Type: 2001,MIC-CLEAR
Originator-Name: webmaster@www.sec.gov
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MIC-Info: RSA-MD5,RSA,
 JqD4MatLgb2E3uwCi4WheweoORv4Zk19SwsCrW4e5hn0rXJOTO5Jf8rfZDP79/Hs
 6adOQtMAQikLCY6JNzvkXA==

<SEC-DOCUMENT>0000746838-04-000143.txt : 20040422
<SEC-HEADER>0000746838-04-000143.hdr.sgml : 20040422
<ACCEPTANCE-DATETIME>20040422172226
ACCESSION NUMBER:		0000746838-04-000143
CONFORMED SUBMISSION TYPE:	4
PUBLIC DOCUMENT COUNT:		1
CONFORMED PERIOD OF REPORT:	20040421
FILED AS OF DATE:		20040422

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:		04748897

	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>2004-04-21</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>2004-04-21</value>
            </transactionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
                <footnoteId id="F2"/>
            </transactionCoding>
            <transactionAmounts>
                <transactionShares>
                    <value>73.91</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>13.53</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>73.91</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>39379.4376</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">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 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>2004-04-22</signatureDate>
    </ownerSignature>
</ownershipDocument>

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