<?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>0001027733</rptOwnerCik>
            <rptOwnerName>BERNICK HOWARD B</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>2525 ARMITAGE AVENUE</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>MELROSE PARK</rptOwnerCity>
            <rptOwnerState>IL</rptOwnerState>
            <rptOwnerZipCode>60160</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>311.33</value>
				</transactionShares>
				<transactionPricePerShare>
					<value>5621.00</value>
				</transactionPricePerShare>
				<transactionAcquiredDisposedCode>
					<value>A</value>
				</transactionAcquiredDisposedCode>
			</transactionAmounts>
			<exerciseDate>
				<footnoteId id="F4"/>
			</exerciseDate>
			<expirationDate>
				<footnoteId id="F4"/>
			</expirationDate>
			<underlyingSecurity>
				<underlyingSecurityTitle>
					<value>Common Stock</value>
				</underlyingSecurityTitle>
				<underlyingSecurityShares>
					<value>311.33</value>
				</underlyingSecurityShares>
			</underlyingSecurity>
			<postTransactionAmounts>
				<sharesOwnedFollowingTransaction>
					<value>4117.25</value>
				</sharesOwnedFollowingTransaction>
			</postTransactionAmounts>
			<ownershipNature>
				<directOrIndirectOwnership>
					<value>D</value>
				</directOrIndirectOwnership>
				<natureOfOwnership>
					<value/>
				</natureOfOwnership>
			</ownershipNature>
		</derivativeTransaction>
		<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="F3"/>
			</transactionCoding>
			<transactionAmounts>
				<transactionShares>
					<value>818.36</value>
				</transactionShares>
				<transactionPricePerShare>
					<value>56.21</value>
				</transactionPricePerShare>
				<transactionAcquiredDisposedCode>
					<value>A</value>
				</transactionAcquiredDisposedCode>
			</transactionAmounts>
			<exerciseDate>
				<footnoteId id="F5"/>
			</exerciseDate>
			<expirationDate>
				<footnoteId id="F5"/>
			</expirationDate>
			<underlyingSecurity>
				<underlyingSecurityTitle>
					<value>Common Stock</value>
				</underlyingSecurityTitle>
				<underlyingSecurityShares>
					<value>818.36</value>
				</underlyingSecurityShares>
			</underlyingSecurity>
			<postTransactionAmounts>
				<sharesOwnedFollowingTransaction>
					<value>4935.61</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 Deferred Compensation Plan (NEDDCP), which Plan is 16b-3 exempt.</footnote>
		<footnote id="F3">Acquired under the Non-Employee Director Stock Deferral Plan (NEDSDP), which Plan is 16b-3 exempt.</footnote>
		<footnote id="F4">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>
		<footnote id="F5">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: /s/ Mark Monroe under POA for Howard Bernick</signatureName>
		<signatureDate>2004-01-05</signatureDate>
	</ownerSignature>
</ownershipDocument>
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X0201
4
2004-01-02
0
0000108601
WRIGLEY WM JR CO
WWY
0001027733
BERNICK HOWARD B
2525 ARMITAGE AVENUE
MELROSE PARK
IL
60160
1
0
0
0
Common Stock Units
0.00
2004-01-02
4
A
0
311.33
5621.00
A
Common Stock
311.33
4117.25
D
Common Stock Units
0.00
2004-01-02
4
A
0
818.36
56.21
A
Common Stock
818.36
4935.61
D
Each share unit is equivalent to one share of the Company's Common Stock.
Acquired under the Non-Employee Director Deferred Compensation Plan (NEDDCP), which Plan is 16b-3 exempt.
Acquired under the Non-Employee Director Stock Deferral Plan (NEDSDP), which Plan is 16b-3 exempt.
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.
Upon retirement participants receive actual shares, either in a lump sum or over a period not to exceed fifteen years.
By: /s/ Mark Monroe under POA for Howard Bernick
2004-01-05