<SEC-DOCUMENT>0001209191-21-020460.txt : 20210315
<SEC-HEADER>0001209191-21-020460.hdr.sgml : 20210315
<ACCEPTANCE-DATETIME>20210315162154
ACCESSION NUMBER:		0001209191-21-020460
CONFORMED SUBMISSION TYPE:	4
PUBLIC DOCUMENT COUNT:		1
CONFORMED PERIOD OF REPORT:	20210311
FILED AS OF DATE:		20210315
DATE AS OF CHANGE:		20210315

REPORTING-OWNER:	

	OWNER DATA:	
		COMPANY CONFORMED NAME:			McKinney Stephen M
		CENTRAL INDEX KEY:			0001733941

	FILING VALUES:
		FORM TYPE:		4
		SEC ACT:		1934 Act
		SEC FILE NUMBER:	001-00303
		FILM NUMBER:		21741766

	MAIL ADDRESS:	
		STREET 1:		1014 VINE STREET
		CITY:			CINCINNATI
		STATE:			OH
		ZIP:			45202

ISSUER:		

	COMPANY DATA:	
		COMPANY CONFORMED NAME:			KROGER CO
		CENTRAL INDEX KEY:			0000056873
		STANDARD INDUSTRIAL CLASSIFICATION:	RETAIL-GROCERY STORES [5411]
		IRS NUMBER:				310345740
		STATE OF INCORPORATION:			OH
		FISCAL YEAR END:			0130

	BUSINESS ADDRESS:	
		STREET 1:		1014 VINE ST
		CITY:			CINCINNATI
		STATE:			OH
		ZIP:			45201
		BUSINESS PHONE:		5137624000

	MAIL ADDRESS:	
		STREET 1:		1014 VINE ST
		CITY:			CINCINNATI
		STATE:			OH
		ZIP:			45201
</SEC-HEADER>
<DOCUMENT>
<TYPE>4
<SEQUENCE>1
<FILENAME>doc4.xml
<DESCRIPTION>FORM 4 SUBMISSION
<TEXT>
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    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2021-03-11</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0000056873</issuerCik>
        <issuerName>KROGER CO</issuerName>
        <issuerTradingSymbol>KR</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001733941</rptOwnerCik>
            <rptOwnerName>McKinney Stephen M</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>THE KROGER CO.</rptOwnerStreet1>
            <rptOwnerStreet2>1014 VINE STREET</rptOwnerStreet2>
            <rptOwnerCity>CINCINNATI</rptOwnerCity>
            <rptOwnerState>OH</rptOwnerState>
            <rptOwnerZipCode>45202</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>1</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>Senior Vice President</officerTitle>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2021-03-11</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>8477</value>
                    <footnoteId id="F1"/>
                </transactionShares>
                <transactionPricePerShare>
                    <value>0.00</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>170319.2035</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
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            <securityTitle>
                <value>Common Stock</value>
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                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
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            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>182084.2035</value>
                </sharesOwnedFollowingTransaction>
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                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
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        </nonDerivativeTransaction>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
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            <transactionDate>
                <value>2021-03-11</value>
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            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>F</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
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            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>5390</value>
                    <footnoteId id="F3"/>
                </transactionShares>
                <transactionPricePerShare>
                    <value>34.94</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>176694.2035</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2021-03-12</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>F</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>3542</value>
                    <footnoteId id="F4"/>
                </transactionShares>
                <transactionPricePerShare>
                    <value>35.46</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>173152.2035</value>
                    <footnoteId id="F5"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">Restricted stock awarded pursuant to a long-term incentive plan of The Kroger Co.  The restrictions on these shares lapse one year from the date of the award.</footnote>
        <footnote id="F2">Shares awarded pursuant to a long-term incentive plan of The Kroger Co.</footnote>
        <footnote id="F3">Payment of tax liability associated with share award.</footnote>
        <footnote id="F4">Payment of tax liability associated with restricted stock.</footnote>
        <footnote id="F5">Between July 1, 2020 and September 30, 2020, the reporting person acquired 224.9042 shares of Kroger common stock in the Company's employee benefit plans, based on information from plan trustees.  The total amount of securities directly owned by the reporting person includes shares in the Company's employee benefit plans that are deemed to be &quot;tax-conditioned plans&quot; pursuant to Rule 16b-3, to the extent disclosed on reports received from plan trustees.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Stephen M. McKinney, by Dorothy D. Roberts, Attorney-in-Fact</signatureName>
        <signatureDate>2021-03-15</signatureDate>
    </ownerSignature>
</ownershipDocument>
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</TEXT>
</DOCUMENT>
</SEC-DOCUMENT>
