<?xml version="1.0"?>
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    <periodOfReport>2008-10-06</periodOfReport>

    <notSubjectToSection16>1</notSubjectToSection16>

    <issuer>
        <issuerCik>0000108601</issuerCik>
        <issuerName>WRIGLEY WM JR CO</issuerName>
        <issuerTradingSymbol>WWY</issuerTradingSymbol>
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            <rptOwnerName>SAMPLE STEVEN B</rptOwnerName>
        </reportingOwnerId>
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            <rptOwnerStreet2>UNIVERSITY PARK, ADMINISTRATION 110</rptOwnerStreet2>
            <rptOwnerCity>LOS ANGELES</rptOwnerCity>
            <rptOwnerState>CA</rptOwnerState>
            <rptOwnerZipCode>90089</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
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            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
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            <expirationDate>
                <value>2013-05-21</value>
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                <underlyingSecurityTitle>
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                <natureOfOwnership>
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        </derivativeTransaction>
        <derivativeTransaction>
            <securityTitle>
                <value>Stock Option (Right to Buy) D-05</value>
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                <value>55.48</value>
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            <transactionDate>
                <value>2008-10-06</value>
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            <deemedExecutionDate></deemedExecutionDate>
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                <equitySwapInvolved>0</equitySwapInvolved>
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            <expirationDate>
                <value>2015-05-19</value>
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                <underlyingSecurityTitle>
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        </derivativeTransaction>
        <derivativeTransaction>
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                <transactionAcquiredDisposedCode>
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            <exerciseDate>
                <value>2003-05-22</value>
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            <expirationDate>
                <value>2012-05-22</value>
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            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Stock</value>
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        </derivativeTransaction>
        <derivativeTransaction>
            <securityTitle>
                <value>Stock Option(Right to Buy)06-D</value>
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                <transactionShares>
                    <value>3625</value>
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                    <value>80.00</value>
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                <transactionAcquiredDisposedCode>
                    <value>D</value>
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                <underlyingSecurityTitle>
                    <value>Common Stock</value>
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    <footnotes>
        <footnote id="F1">Disposed of pursuant to the Agreement and Plan of Merger, dated April 28, 2008 (the &quot;Merger Agreement&quot;), among Wm. Wrigley Jr. Company (the &quot;Company&quot;), Mars, Incorporated, New Uno Holdings Corporation and New Uno Acquisition Corporation, in exchange for the right to receive $80.00 per share, without interest and less any applicable withholding tax.</footnote>
        <footnote id="F2">Pursuant to the Merger Agreement, each outstanding restricted stock unit award was converted into the right to receive $80.00 in cash, without interest and less any applicable withholding tax, per restricted stock unit, to the extent vested by its terms at the effective time of the merger.</footnote>
        <footnote id="F3">Each share unit is equivalent to one share of the Company's Common Stock.</footnote>
        <footnote id="F4">Pursuant to the Merger Agreement, each share or share unit of Common Stock and Class B Common Stock awarded under the Non-Employee Director Deferred Compensation Plan (NEDDCP) or the Non-Employee Director Stock Deferral Plan (NEDSDP) which are programs under the Management Incentive Plan (MIP) was converted into the right to receive $80.00 per share, without interest and less any applicable withholding tax.</footnote>
        <footnote id="F5">Share units can be awarded under various programs of the Management Incentive Plan (MIP), which Plan is exempt under Rule 16b-3.  Shares or share units acquired under the Long Term Stock Grant are not restricted.  Shares or share units acquired under the Stock Award Program are restricted as to sale or transfer until retirement, termination or death.</footnote>
        <footnote id="F6">Pursuant to the Merger Agreement, this option, which provided for vesting in four (4) equal annual installments beginning one year from the grant date, was converted into the right to receive an amount in cash, without interest and less any applicable withholding tax, equal to the product of (i) the total number of shares of Common Stock covered by such option, multiplied by (ii) the excess of $80.00 over the exercise price per share of such option.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>By: Mark Monroe under POA for Steven Sample</signatureName>
        <signatureDate>2008-10-07</signatureDate>
    </ownerSignature>
</ownershipDocument>
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X0303
4
2008-10-06
1
0000108601
WRIGLEY WM JR CO
WWY
0001190238
SAMPLE STEVEN B
USC
UNIVERSITY PARK, ADMINISTRATION 110
LOS ANGELES
CA
90089
1
0
0
0
Common Stock
2008-10-06
4
D
0
2850
80.00
D
0.00
D
Common Stock/Class  B
2008-10-06
4
D
0
500
80.00
D
0.00
D
Common Stock Units
2008-10-06
4
D
0
11574.78
80.00
D
Common Stock
11574.78
0.00
D
Stock Option (Right to Buy) D-01
38.48
2008-10-06
4
D
0
3750
80.00
D
2002-05-23
2011-05-23
Common Stock
3750.00
0.00
D
Stock Option (Right to Buy) D-03
43.92
2008-10-06
4
D
0
3500
80.00
D
2004-05-21
2013-05-21
Common Stock
3500.00
0.00
D
Stock Option (Right to Buy) D-05
55.48
2008-10-06
4
D
0
3250
80.00
D
2006-05-19
2015-05-19
Common Stock
3250.00
0.00
D
Stock Option (Right to Buy)-D-02
46.51
2008-10-06
4
D
0
3125
80.00
D
2003-05-22
2012-05-22
Common Stock
3125.00
0.00
D
Stock Option(Right to Buy)06-D
46.60
2008-10-06
4
D
0
4800
80.00
D
2007-05-18
2016-05-18
Common Stock
4800.00
0.00
D
Stock Option(Right to Buy)07-D
58.06
2008-10-06
4
D
0
5400
80.00
D
2008-05-22
2017-05-22
Common Stock
5400.00
0.00
D
Stock Option(Right to Buy)D-04
49.82
2008-10-06
4
D
0
3625
80.00
D
2005-05-25
2014-05-25
Common Stock
3625.00
0.00
D
Disposed of pursuant to the Agreement and Plan of Merger, dated April 28, 2008 (the "Merger Agreement"), among Wm. Wrigley Jr. Company (the "Company"), Mars, Incorporated, New Uno Holdings Corporation and New Uno Acquisition Corporation, in exchange for the right to receive $80.00 per share, without interest and less any applicable withholding tax.
Pursuant to the Merger Agreement, each outstanding restricted stock unit award was converted into the right to receive $80.00 in cash, without interest and less any applicable withholding tax, per restricted stock unit, to the extent vested by its terms at the effective time of the merger.
Each share unit is equivalent to one share of the Company's Common Stock.
Pursuant to the Merger Agreement, each share or share unit of Common Stock and Class B Common Stock awarded under the Non-Employee Director Deferred Compensation Plan (NEDDCP) or the Non-Employee Director Stock Deferral Plan (NEDSDP) which are programs under the Management Incentive Plan (MIP) was converted into the right to receive $80.00 per share, without interest and less any applicable withholding tax.
Share units can be awarded under various programs of the Management Incentive Plan (MIP), which Plan is exempt under Rule 16b-3.  Shares or share units acquired under the Long Term Stock Grant are not restricted.  Shares or share units acquired under the Stock Award Program are restricted as to sale or transfer until retirement, termination or death.
Pursuant to the Merger Agreement, this option, which provided for vesting in four (4) equal annual installments beginning one year from the grant date, was converted into the right to receive an amount in cash, without interest and less any applicable withholding tax, equal to the product of (i) the total number of shares of Common Stock covered by such option, multiplied by (ii) the excess of $80.00 over the exercise price per share of such option.
By: Mark Monroe under POA for Steven Sample
2008-10-07