-----BEGIN PRIVACY-ENHANCED MESSAGE-----
Proc-Type: 2001,MIC-CLEAR
Originator-Name: webmaster@www.sec.gov
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 TWSM7vrzLADbmYQaionwg5sDW3P6oaM5D3tdezXMm7z1T+B+twIDAQAB
MIC-Info: RSA-MD5,RSA,
 QvVVmIaxtlHrLe2pY3LmBPb0kvcrUH7BjOJ7LnomeolSm4Ev6z9yqizlt9BMQPz4
 8KfSFsgsTGmuG7dcTs8Edg==

<SEC-DOCUMENT>0001209191-10-034446.txt : 20100616
<SEC-HEADER>0001209191-10-034446.hdr.sgml : 20100616
<ACCEPTANCE-DATETIME>20100616130124
ACCESSION NUMBER:		0001209191-10-034446
CONFORMED SUBMISSION TYPE:	4
PUBLIC DOCUMENT COUNT:		1
CONFORMED PERIOD OF REPORT:	20100615
FILED AS OF DATE:		20100616
DATE AS OF CHANGE:		20100616

REPORTING-OWNER:	

	OWNER DATA:	
		COMPANY CONFORMED NAME:			Vanzura Rick
		CENTRAL INDEX KEY:			0001433105

	FILING VALUES:
		FORM TYPE:		4
		SEC ACT:		1934 Act
		SEC FILE NUMBER:	000-19253
		FILM NUMBER:		10900081

	MAIL ADDRESS:	
		STREET 1:		3755 INDIAN TRAIL
		CITY:			ORCHARD LAKE
		STATE:			MI
		ZIP:			48324

ISSUER:		

	COMPANY DATA:	
		COMPANY CONFORMED NAME:			PANERA BREAD CO
		CENTRAL INDEX KEY:			0000724606
		STANDARD INDUSTRIAL CLASSIFICATION:	RETAIL-EATING PLACES [5812]
		IRS NUMBER:				042723701
		STATE OF INCORPORATION:			DE
		FISCAL YEAR END:			1227

	BUSINESS ADDRESS:	
		STREET 1:		6710 CLAYTON RD
		CITY:			RICHMOND HEIGHTS
		STATE:			MO
		ZIP:			63117
		BUSINESS PHONE:		3146337100

	MAIL ADDRESS:	
		STREET 1:		6710 CLAYTON RD
		CITY:			RICHMOND HEIGHTS
		STATE:			MO
		ZIP:			63117

	FORMER COMPANY:	
		FORMER CONFORMED NAME:	AU BON PAIN CO INC
		DATE OF NAME CHANGE:	19940201

	FORMER COMPANY:	
		FORMER CONFORMED NAME:	AU BON PAIN COMPANY INC
		DATE OF NAME CHANGE:	19920501
</SEC-HEADER>
<DOCUMENT>
<TYPE>4
<SEQUENCE>1
<FILENAME>doc4.xml
<DESCRIPTION>FORM 4 SUBMISSION
<TEXT>
<XML>
<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0303</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2010-06-15</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0000724606</issuerCik>
        <issuerName>PANERA BREAD CO</issuerName>
        <issuerTradingSymbol>PNRA</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001433105</rptOwnerCik>
            <rptOwnerName>Vanzura Rick</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>THREE CHARLES RIVER STREET</rptOwnerStreet1>
            <rptOwnerStreet2>63 KENDRICK STREET</rptOwnerStreet2>
            <rptOwnerCity>NEEDHAM</rptOwnerCity>
            <rptOwnerState>MA</rptOwnerState>
            <rptOwnerZipCode>02494</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>1</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>EVP, Chief Admin. Officer</officerTitle>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Class A Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2010-06-15</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>S</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
                <footnoteId id="F1"/>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>2</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>85.00</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>9923</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">The sale reported on this Form 4 was effected pursuant to a Rule 10b5-1 trading plan adopted by the Reporting Person on March 9, 2010.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Louis DiPietro, Attorney in Fact for Rick Vanzura</signatureName>
        <signatureDate>2010-06-16</signatureDate>
    </ownerSignature>
</ownershipDocument>
</XML>
</TEXT>
</DOCUMENT>
</SEC-DOCUMENT>
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