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

    <schemaVersion>X0202</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2005-05-19</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

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

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001163227</rptOwnerCik>
            <rptOwnerName>KNOWLTON THOMAS A</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>RYERSON UNIVERSITY</rptOwnerStreet1>
            <rptOwnerStreet2>285 VICTORIA ST., 8TH FLOOR</rptOwnerStreet2>
            <rptOwnerCity></rptOwnerCity>
            <rptOwnerState></rptOwnerState>
            <rptOwnerZipCode></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>5000.00</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value></value>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeHolding>
    </nonDerivativeTable>

    <derivativeTable>
        <derivativeTransaction>
            <securityTitle>
                <value>Stock Option (Right to Buy) D-05</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>69.35</value>
            </conversionOrExercisePrice>
            <transactionDate>
                <value>2005-05-19</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionAmounts>
                <transactionShares>
                    <value>2600</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>0</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <exerciseDate>
                <value>2006-05-19</value>
                <footnoteId id="F1"/>
            </exerciseDate>
            <expirationDate>
                <value>2015-05-19</value>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>2600.00</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>2600.00</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value></value>
                </natureOfOwnership>
            </ownershipNature>
        </derivativeTransaction>
        <derivativeHolding>
            <securityTitle>
                <value>Common Stock Units</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>0.00</value>
                <footnoteId id="F2"/>
            </conversionOrExercisePrice>
            <exerciseDate>
                <footnoteId id="F3"/>
            </exerciseDate>
            <expirationDate>
                <footnoteId id="F3"/>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>8289.36</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>8289.36</value>
                    <footnoteId id="F4"/>
                </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="F5"/>
            </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="F6"/>
            </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)-O-01</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>48.10</value>
            </conversionOrExercisePrice>
            <exerciseDate>
                <value>2002-05-23</value>
                <footnoteId id="F7"/>
            </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-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">The Option vests in four equal annual installments beginning on May 19, 2006.</footnote>
        <footnote id="F2">Each share unit is equivalent to one share of the Company's Common Stock.</footnote>
        <footnote id="F3">Share units can be awarded under various programs of the Management Incentive Plan (MIP), which Plan is exempt under Rule 16b-3.  Share units acquired under the Long Term Stock Grant Program are restricted as to sale or transfer for one year from date of award.  Share units acquired under the Stock Award Program are restricted as to sale or transfer until retirement, termination or death.</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 21, 2004.</footnote>
        <footnote id="F6">The Option vests in four equal annual installments beginning on May 22, 2003.</footnote>
        <footnote id="F7">The Option vests in four equal annual installments beginning on May 23, 2002.</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 Thomas Knowlton</signatureName>
        <signatureDate>2005-05-20</signatureDate>
    </ownerSignature>
</ownershipDocument>
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X0202
4
2005-05-19
0
0000108601
WRIGLEY WM JR CO
WWY
0001163227
KNOWLTON THOMAS A
RYERSON UNIVERSITY
285 VICTORIA ST., 8TH FLOOR
1
0
0
0
Common Stock
5000.00
D
Stock Option (Right to Buy) D-05
69.35
2005-05-19
4
A
0
2600
0
A
2006-05-19
2015-05-19
Common Stock
2600.00
2600.00
D
Common Stock Units
0.00
Common Stock
8289.36
8289.36
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)-O-01
48.10
2002-05-23
2011-05-23
Common Stock
3000.00
3000.00
D
Stock Option(Right to Buy)D-04
62.28
2005-05-25
2014-05-25
Common Stock
2900.00
2900.00
D
The Option vests in four equal annual installments beginning on May 19, 2006.
Each share unit is equivalent to one share of the Company's Common Stock.
Share units can be awarded under various programs of the Management Incentive Plan (MIP), which Plan is exempt under Rule 16b-3.  Share units acquired under the Long Term Stock Grant Program are restricted as to sale or transfer for one year from date of award.  Share units acquired under the Stock Award Program are restricted as to sale or transfer until retirement, termination or death.
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 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 23, 2002.
The Option vests in four equal annual installments beginning on May 25, 2005.
By: Mark Monroe under POA for Thomas Knowlton
2005-05-20