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Proc-Type: 2001,MIC-CLEAR
Originator-Name: webmaster@www.sec.gov
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MIC-Info: RSA-MD5,RSA,
 GxMEXq/7xcs06P77vmaRRA7w4RpsX3mhctjKeqIPcuiaGm9FjSy7zIc02CfJhh+c
 sa1wBEERdcKrw3MinB891w==

<SEC-DOCUMENT>0001179110-10-008111.txt : 20100507
<SEC-HEADER>0001179110-10-008111.hdr.sgml : 20100507
<ACCEPTANCE-DATETIME>20100507140829
ACCESSION NUMBER:		0001179110-10-008111
CONFORMED SUBMISSION TYPE:	4
PUBLIC DOCUMENT COUNT:		1
CONFORMED PERIOD OF REPORT:	20100506
FILED AS OF DATE:		20100507
DATE AS OF CHANGE:		20100507

REPORTING-OWNER:	

	OWNER DATA:	
		COMPANY CONFORMED NAME:			PEERCY PAUL S
		CENTRAL INDEX KEY:			0001286873
		STANDARD INDUSTRIAL CLASSIFICATION:	RADIO & TV BROADCASTING & COMMUNICATIONS EQUIPMENT [3663]
		STATE OF INCORPORATION:			MD
		FISCAL YEAR END:			0930

	FILING VALUES:
		FORM TYPE:		4
		SEC ACT:		1934 Act
		SEC FILE NUMBER:	001-05277
		FILM NUMBER:		10811651

	BUSINESS ADDRESS:	
		STREET 1:		222 W. WASHINGTON AVENUE
		STREET 2:		SUITE 775
		CITY:			MADISON
		STATE:			WI
		ZIP:			53703
		BUSINESS PHONE:		6084431600

ISSUER:		

	COMPANY DATA:	
		COMPANY CONFORMED NAME:			BEMIS CO INC
		CENTRAL INDEX KEY:			0000011199
		STANDARD INDUSTRIAL CLASSIFICATION:	CONVERTED PAPER & PAPERBOARD PRODS (NO CONTAINERS/BOXES) [2670]
		IRS NUMBER:				430178130
		STATE OF INCORPORATION:			MO
		FISCAL YEAR END:			1231

	BUSINESS ADDRESS:	
		STREET 1:		ONE NEENAH CENTER, 4TH FLOOR
		STREET 2:		P.O. BOX 669
		CITY:			NEENAH
		STATE:			WI
		ZIP:			54957-0669
		BUSINESS PHONE:		(920) 727-4100

	MAIL ADDRESS:	
		STREET 1:		ONE NEENAH CENTER, 4TH FLOOR
		STREET 2:		P.O. BOX 669
		CITY:			NEENAH
		STATE:			WI
		ZIP:			54957-0669
</SEC-HEADER>
<DOCUMENT>
<TYPE>4
<SEQUENCE>1
<FILENAME>edgar.xml
<DESCRIPTION>FORM 4 -
<TEXT>
<XML>
<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0303</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2010-05-06</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0000011199</issuerCik>
        <issuerName>BEMIS CO INC</issuerName>
        <issuerTradingSymbol>BMS</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001286873</rptOwnerCik>
            <rptOwnerName>PEERCY PAUL S</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>ONE NEENAH CENTER, 4TH FLOOR</rptOwnerStreet1>
            <rptOwnerStreet2>P.O. BOX 669</rptOwnerStreet2>
            <rptOwnerCity>NEENAH</rptOwnerCity>
            <rptOwnerState>WI</rptOwnerState>
            <rptOwnerZipCode>54957</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle></officerTitle>
            <otherText></otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2010-05-06</value>
            </transactionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionAmounts>
                <transactionShares>
                    <value>2552</value>
                    <footnoteId id="F1"/>
                </transactionShares>
                <transactionPricePerShare>
                    <value>29.39</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>14403</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <derivativeTable></derivativeTable>

    <footnotes>
        <footnote id="F1">Stock Award granted to Bemis Director pursuant to 2007 Stock Incentive Plan exempt under Rule 16b-3: Grant made to Director on May 6, 2010 as part of Director's Annual Fee.</footnote>
    </footnotes>

    <ownerSignature>
        <signatureName>Stanley A. Jaffy Power of Attorney</signatureName>
        <signatureDate>2010-05-07</signatureDate>
    </ownerSignature>
</ownershipDocument>
</XML>
</TEXT>
</DOCUMENT>
</SEC-DOCUMENT>
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