-----BEGIN PRIVACY-ENHANCED MESSAGE-----
Proc-Type: 2001,MIC-CLEAR
Originator-Name: webmaster@www.sec.gov
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MIC-Info: RSA-MD5,RSA,
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<SEC-DOCUMENT>0000108601-04-000092.txt : 20040402
<SEC-HEADER>0000108601-04-000092.hdr.sgml : 20040402
<ACCEPTANCE-DATETIME>20040402171207
ACCESSION NUMBER:		0000108601-04-000092
CONFORMED SUBMISSION TYPE:	4
PUBLIC DOCUMENT COUNT:		1
CONFORMED PERIOD OF REPORT:	20040401
FILED AS OF DATE:		20040402

ISSUER:		

	COMPANY DATA:	
		COMPANY CONFORMED NAME:			WRIGLEY WM JR CO
		CENTRAL INDEX KEY:			0000108601
		STANDARD INDUSTRIAL CLASSIFICATION:	SUGAR & CONFECTIONERY PRODUCTS [2060]
		IRS NUMBER:				361988190
		STATE OF INCORPORATION:			DE
		FISCAL YEAR END:			1231

	BUSINESS ADDRESS:	
		STREET 1:		410 N MICHIGAN AVE
		STREET 2:		WRIGLEY BUILDING
		CITY:			CHICAGO
		STATE:			IL
		ZIP:			60611
		BUSINESS PHONE:		3126442121

	MAIL ADDRESS:	
		STREET 1:		410 N MICHIGAN AVE
		CITY:			CHICAGO
		STATE:			IL
		ZIP:			60611

	FORMER COMPANY:	
		FORMER CONFORMED NAME:	WRIGLEY WILLIAM JR CO
		DATE OF NAME CHANGE:	19920703

REPORTING-OWNER:	

	OWNER DATA:	
		COMPANY CONFORMED NAME:			PRITZKER PENNY S
		CENTRAL INDEX KEY:			0001087398

	FILING VALUES:
		FORM TYPE:		4
		SEC ACT:		1934 Act
		SEC FILE NUMBER:	001-00800
		FILM NUMBER:		04714882

	BUSINESS ADDRESS:	
		STREET 1:		200 W MADISON ST
		STREET 2:		SUITE 3700
		CITY:			CHICAGO
		STATE:			IL
		ZIP:			60606-3417
		BUSINESS PHONE:		3127501234

	MAIL ADDRESS:	
		STREET 1:		200 W MADISON ST
		STREET 2:		SUITE 3700
		CITY:			CHICAGO
		STATE:			IL
		ZIP:			60606-3417
</SEC-HEADER>
<DOCUMENT>
<TYPE>4
<SEQUENCE>1
<FILENAME>pri417.xml
<TEXT>
<XML>
<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0201</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2004-04-01</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0000108601</issuerCik>
        <issuerName>WRIGLEY WM JR CO</issuerName>
        <issuerTradingSymbol>WWY</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001087398</rptOwnerCik>
            <rptOwnerName>PRITZKER PENNY S</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>PRITZKER REALTY GROUP, L.P.</rptOwnerStreet1>
            <rptOwnerStreet2>200 W. MADISON STREET, SUITE 3700</rptOwnerStreet2>
            <rptOwnerCity>CHICAGO</rptOwnerCity>
            <rptOwnerState>IL</rptOwnerState>
            <rptOwnerZipCode>60606</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <derivativeTable>
        <derivativeTransaction>
            <securityTitle>
                <value>Common Stock Units</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>0.00</value>
                <footnoteId id="F1"/>
            </conversionOrExercisePrice>
            <transactionDate>
                <value>2004-04-01</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
                <footnoteId id="F2"/>
            </transactionCoding>
            <transactionAmounts>
                <transactionShares>
                    <value>266.41</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>59.12</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>266.41</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>20813.21</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value></value>
                </natureOfOwnership>
            </ownershipNature>
        </derivativeTransaction>
    </derivativeTable>

    <footnotes>
        <footnote id="F1">Each share unit is equivalent to one share of the Company's Common Stock.</footnote>
        <footnote id="F2">Acquired under the Non-Employee Director Deferred Compensation Plan (NEDDCP), which Plan is 16b-3 exempt.</footnote>
        <footnote id="F3">The equivalent value of share units acquired under the Deferred Compensation Plan for non-employee Directors may be transferred to other funds within the grantor trust for the Plan but may not be distributed until the earlier of age 70 or retirement from the Board.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>By: /s/ Mark Monroe under POA for Penny Pritzker</signatureName>
        <signatureDate>2004-04-02</signatureDate>
    </ownerSignature>
</ownershipDocument>

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