<?xml version="1.0"?>
<ownershipDocument>
    <schemaVersion>X0201</schemaVersion>

    <documentType>4</documentType>
	<periodOfReport>2004-01-02</periodOfReport>
	<notSubjectToSection16>0</notSubjectToSection16>
    <issuer>
        <issuerCik>0000108601</issuerCik>
        <issuerName>WRIGLEY WM JR CO</issuerName>
        <issuerTradingSymbol>WWY</issuerTradingSymbol>
	</issuer>
	<reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001190238</rptOwnerCik>
            <rptOwnerName>SAMPLE STEVEN B</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>USC</rptOwnerStreet1>
            <rptOwnerStreet2>UNIVERSITY PARK, ADMINISTRATION 110</rptOwnerStreet2>
            <rptOwnerCity>LOS ANGELES</rptOwnerCity>
            <rptOwnerState>CA</rptOwnerState>
            <rptOwnerZipCode>90089</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>2004-01-02</value>
			</transactionDate>
			<deemedExecutionDate>
			</deemedExecutionDate>
			<transactionCoding>
				<transactionFormType>4</transactionFormType>
				<transactionCode>A</transactionCode>
				<equitySwapInvolved>0</equitySwapInvolved>
				<footnoteId id="F2"/>
			</transactionCoding>
			<transactionAmounts>
				<transactionShares>
					<value>818.36</value>
				</transactionShares>
				<transactionPricePerShare>
					<value>56.21</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>818.36</value>
				</underlyingSecurityShares>
			</underlyingSecurity>
			<postTransactionAmounts>
				<sharesOwnedFollowingTransaction>
					<value>5441.09</value>
				</sharesOwnedFollowingTransaction>
			</postTransactionAmounts>
			<ownershipNature>
				<directOrIndirectOwnership>
					<value>D</value>
				</directOrIndirectOwnership>
				<natureOfOwnership>
					<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 Stock Deferral Plan (NEDSDP), which Plan is 16b-3 exempt.</footnote>
		<footnote id="F3">Upon retirement participants receive actual shares, either in a lump sum or over a period not to exceed fifteen years.</footnote>
	</footnotes>
	<remarks>
	</remarks>
	<ownerSignature>
		<signatureName>By: Mark Monroe under POA for Steven Sample</signatureName>
		<signatureDate>2004-01-05</signatureDate>
	</ownerSignature>
</ownershipDocument>
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X0201
4
2004-01-02
0
0000108601
WRIGLEY WM JR CO
WWY
0001190238
SAMPLE STEVEN B
USC
UNIVERSITY PARK, ADMINISTRATION 110
LOS ANGELES
CA
90089
1
0
0
0
Common Stock Units
0.00
2004-01-02
4
A
0
818.36
56.21
A
Common Stock
818.36
5441.09
D
Each share unit is equivalent to one share of the Company's Common Stock.
Acquired under the Non-Employee Director Stock Deferral Plan (NEDSDP), which Plan is 16b-3 exempt.
Upon retirement participants receive actual shares, either in a lump sum or over a period not to exceed fifteen years.
By: Mark Monroe under POA for Steven Sample
2004-01-05