<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0201</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2004-02-19</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

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

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001163218</rptOwnerCik>
            <rptOwnerName>SCHNEIDER ALAN J</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>410 N. MICHIGAN AVENUE</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>CHICAGO</rptOwnerCity>
            <rptOwnerState>IL</rptOwnerState>
            <rptOwnerZipCode>606114213</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>1</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>V. P. &amp; Treasurer</officerTitle>
        </reportingOwnerRelationship>
    </reportingOwner>

    <derivativeTable>
        <derivativeTransaction>
            <securityTitle>
                <value>Common Stock Units</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>0.00</value>
                <footnoteId id="F1"/>
            </conversionOrExercisePrice>
            <transactionDate>
                <value>2004-02-19</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
                <footnoteId id="F2"/>
            </transactionCoding>
            <transactionAmounts>
                <transactionShares>
                    <value>535</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>0</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>535.00</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>16966.54</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value></value>
                </natureOfOwnership>
            </ownershipNature>
        </derivativeTransaction>
        <derivativeTransaction>
            <securityTitle>
                <value>Common Stock Units</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>0.00</value>
                <footnoteId id="F1"/>
            </conversionOrExercisePrice>
            <transactionDate>
                <value>2004-02-19</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
                <footnoteId id="F4"/>
            </transactionCoding>
            <transactionAmounts>
                <transactionShares>
                    <value>2160</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>0</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>2160.00</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>19126.54</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">Restricted shares or share units acquired under the Stock Award Program, part of the Management Incentive Plan, which Plan is 16b-3 exempt.</footnote>
        <footnote id="F3">Shares or share units acquired under the Stock Award Program are restricted to sale or transfer until retirement, termination or death.</footnote>
        <footnote id="F4">Restricted shares or share units acquired under the Long Term Stock Grant Program, part of the Management Incentive Plan, which Plan is 16b-3 exempt.  (Shares or share units are restricted for one year from date of Grant.)</footnote>
        <footnote id="F5">Shares or share units acquired under the Long Term Stock Grant Program are restricted for one year from date of Grant.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>By: Mark Monroe under POA for Alan Schneider</signatureName>
        <signatureDate>2004-02-20</signatureDate>
    </ownerSignature>
</ownershipDocument>
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X0201
4
2004-02-19
0
0000108601
WRIGLEY WM JR CO
WWY
0001163218
SCHNEIDER ALAN J
410 N. MICHIGAN AVENUE
CHICAGO
IL
606114213
0
1
0
0
V. P. & Treasurer
Common Stock Units
0.00
2004-02-19
4
A
0
535
0
A
Common Stock
535.00
16966.54
D
Common Stock Units
0.00
2004-02-19
4
A
0
2160
0
A
Common Stock
2160.00
19126.54
D
Each share unit is equivalent to one share of the Company's Common Stock.
Restricted shares or share units acquired under the Stock Award Program, part of the Management Incentive Plan, which Plan is 16b-3 exempt.
Shares or share units acquired under the Stock Award Program are restricted to sale or transfer until retirement, termination or death.
Restricted shares or share units acquired under the Long Term Stock Grant Program, part of the Management Incentive Plan, which Plan is 16b-3 exempt.  (Shares or share units are restricted for one year from date of Grant.)
Shares or share units acquired under the Long Term Stock Grant Program are restricted for one year from date of Grant.
By: Mark Monroe under POA for Alan Schneider
2004-02-20