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

    <schemaVersion>X0202</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2005-01-03</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

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

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001163228</rptOwnerCik>
            <rptOwnerName>RICH MELINDA R</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>RICH PRODUCTS CORPORATION</rptOwnerStreet1>
            <rptOwnerStreet2>ONE RICH WAY</rptOwnerStreet2>
            <rptOwnerCity>BUFFALO</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>14213</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>1367.00</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>
                <footnoteId id="F1"/>
            </conversionOrExercisePrice>
            <transactionDate>
                <value>2005-01-03</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
                <footnoteId id="F2"/>
            </transactionCoding>
            <transactionAmounts>
                <transactionShares>
                    <value>664.84</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>664.84</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>6434.48</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 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>
        <footnote id="F4">Total includes share units acquired as a result of the reinvestment of dividends under the NEDDCP and/or the NEDSDP, programs 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 Melinda Rich</signatureName>
        <signatureDate>2005-01-04</signatureDate>
    </ownerSignature>
</ownershipDocument>
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X0202
4
2005-01-03
0
0000108601
WRIGLEY WM JR CO
WWY
0001163228
RICH MELINDA R
RICH PRODUCTS CORPORATION
ONE RICH WAY
BUFFALO
NY
14213
1
0
0
0
Common Stock
1367.00
D
Common Stock Units
2005-01-03
4
A
0
664.84
0
A
Common Stock
664.84
6434.48
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 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.
Total includes share units acquired as a result of the reinvestment of dividends under the NEDDCP and/or the NEDSDP, programs 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 Melinda Rich
2005-01-04