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

    <schemaVersion>X0202</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2004-10-01</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>

    <nonDerivativeTable>
        <nonDerivativeHolding>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>400.00</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value></value>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeHolding>
    </nonDerivativeTable>

    <derivativeTable>
        <derivativeTransaction>
            <securityTitle>
                <value>Common Stock Units</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>0.00</value>
                <footnoteId id="F1"/>
            </conversionOrExercisePrice>
            <transactionDate>
                <value>2004-10-01</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
                <footnoteId id="F2"/>
            </transactionCoding>
            <transactionAmounts>
                <transactionShares>
                    <value>201.14</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>63.39</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>201.14</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>21376.91</value>
                    <footnoteId id="F4"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value></value>
                </natureOfOwnership>
            </ownershipNature>
        </derivativeTransaction>
        <derivativeHolding>
            <securityTitle>
                <value>Stock Option (Right to Buy) D-01</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>48.10</value>
            </conversionOrExercisePrice>
            <exerciseDate>
                <value>2002-05-23</value>
                <footnoteId id="F5"/>
            </exerciseDate>
            <expirationDate>
                <value>2011-05-23</value>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>3000.00</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>3000.00</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value></value>
                </natureOfOwnership>
            </ownershipNature>
        </derivativeHolding>
        <derivativeHolding>
            <securityTitle>
                <value>Stock Option (Right to Buy) D-03</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>54.90</value>
            </conversionOrExercisePrice>
            <exerciseDate>
                <value>2004-05-21</value>
                <footnoteId id="F6"/>
            </exerciseDate>
            <expirationDate>
                <value>2013-05-21</value>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>2800.00</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>2800.00</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value></value>
                </natureOfOwnership>
            </ownershipNature>
        </derivativeHolding>
        <derivativeHolding>
            <securityTitle>
                <value>Stock Option (Right to Buy)-D-02</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>58.14</value>
            </conversionOrExercisePrice>
            <exerciseDate>
                <value>2003-05-22</value>
                <footnoteId id="F7"/>
            </exerciseDate>
            <expirationDate>
                <value>2012-05-22</value>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>2500.00</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>2500.00</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value></value>
                </natureOfOwnership>
            </ownershipNature>
        </derivativeHolding>
        <derivativeHolding>
            <securityTitle>
                <value>Stock Option(Right to Buy)D-04</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>62.28</value>
            </conversionOrExercisePrice>
            <exerciseDate>
                <value>2005-05-25</value>
                <footnoteId id="F8"/>
            </exerciseDate>
            <expirationDate>
                <value>2014-05-25</value>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>2900.00</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>2900.00</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value></value>
                </natureOfOwnership>
            </ownershipNature>
        </derivativeHolding>
    </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>
        <footnote id="F4">Total includes share units acquired as a result of the reinvestment of dividends under the NEDDCP, a program under the Management Incentive Plan (MIP), which Plan is 16b-3 exempt.</footnote>
        <footnote id="F5">The option vests in four equal annual installments beginning on May 23, 2002.</footnote>
        <footnote id="F6">The Option vests in four equal annual installments beginning on May 21, 2004.</footnote>
        <footnote id="F7">The Option vests in four equal annual installments beginning on May 22, 2003.</footnote>
        <footnote id="F8">The Option vests in four equal annual installments beginning on May 25, 2005.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>By: Mark Monroe under POA for Penny Pritzker</signatureName>
        <signatureDate>2004-10-04</signatureDate>
    </ownerSignature>
</ownershipDocument>
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X0202
4
2004-10-01
0
0000108601
WRIGLEY WM JR CO
WWY
0001087398
PRITZKER PENNY S
PRITZKER REALTY GROUP, L.P.
200 W. MADISON STREET, SUITE 3700
CHICAGO
IL
60606
1
0
0
0
Common Stock
400.00
D
Common Stock Units
0.00
2004-10-01
4
A
0
201.14
63.39
A
Common Stock
201.14
21376.91
D
Stock Option (Right to Buy) D-01
48.10
2002-05-23
2011-05-23
Common Stock
3000.00
3000.00
D
Stock Option (Right to Buy) D-03
54.90
2004-05-21
2013-05-21
Common Stock
2800.00
2800.00
D
Stock Option (Right to Buy)-D-02
58.14
2003-05-22
2012-05-22
Common Stock
2500.00
2500.00
D
Stock Option(Right to Buy)D-04
62.28
2005-05-25
2014-05-25
Common Stock
2900.00
2900.00
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.
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.
Total includes share units acquired as a result of the reinvestment of dividends under the NEDDCP, a program under the Management Incentive Plan (MIP), which Plan is 16b-3 exempt.
The option vests in four equal annual installments beginning on May 23, 2002.
The Option vests in four equal annual installments beginning on May 21, 2004.
The Option vests in four equal annual installments beginning on May 22, 2003.
The Option vests in four equal annual installments beginning on May 25, 2005.
By: Mark Monroe under POA for Penny Pritzker
2004-10-04