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Proc-Type: 2001,MIC-CLEAR
Originator-Name: webmaster@www.sec.gov
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<SEC-DOCUMENT>0001209191-09-023175.txt : 20090429
<SEC-HEADER>0001209191-09-023175.hdr.sgml : 20090429
<ACCEPTANCE-DATETIME>20090429125451
ACCESSION NUMBER:		0001209191-09-023175
CONFORMED SUBMISSION TYPE:	4
PUBLIC DOCUMENT COUNT:		1
CONFORMED PERIOD OF REPORT:	20090427
FILED AS OF DATE:		20090429
DATE AS OF CHANGE:		20090429

REPORTING-OWNER:	

	OWNER DATA:	
		COMPANY CONFORMED NAME:			BROWN CHRISTOPHER A
		CENTRAL INDEX KEY:			0001229227

	FILING VALUES:
		FORM TYPE:		4
		SEC ACT:		1934 Act
		SEC FILE NUMBER:	000-00785
		FILM NUMBER:		09778220

	MAIL ADDRESS:	
		STREET 1:		7600 FRANCE AVE SOUTH
		STREET 2:		PO BOX 355
		CITY:			MINNEAPOLIS
		STATE:			MN
		ZIP:			55440-0355

ISSUER:		

	COMPANY DATA:	
		COMPANY CONFORMED NAME:			NASH FINCH CO
		CENTRAL INDEX KEY:			0000069671
		STANDARD INDUSTRIAL CLASSIFICATION:	WHOLESALE-GROCERIES & RELATED PRODUCTS [5140]
		IRS NUMBER:				410431960
		STATE OF INCORPORATION:			DE
		FISCAL YEAR END:			1231

	BUSINESS ADDRESS:	
		STREET 1:		7600 FRANCE AVE
		STREET 2:		PO BOX 355
		CITY:			SOUTH MINNEAPOLIS
		STATE:			MN
		ZIP:			55435-0355
		BUSINESS PHONE:		6128320534

	FORMER COMPANY:	
		FORMER CONFORMED NAME:	NASH CO
		DATE OF NAME CHANGE:	19710617
</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>2009-04-27</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0000069671</issuerCik>
        <issuerName>NASH FINCH CO</issuerName>
        <issuerTradingSymbol>NAFC</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001229227</rptOwnerCik>
            <rptOwnerName>BROWN CHRISTOPHER A</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>7600 FRANCE AVE S</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>EDINA</rptOwnerCity>
            <rptOwnerState>MN</rptOwnerState>
            <rptOwnerZipCode>55435</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>1</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>Executive Vice President</officerTitle>
        </reportingOwnerRelationship>
    </reportingOwner>

    <derivativeTable>
        <derivativeTransaction>
            <securityTitle>
                <value>Deferred Stock Unit</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <footnoteId id="F1"/>
            </conversionOrExercisePrice>
            <transactionDate>
                <value>2009-04-27</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>6875</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>0.00</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <exerciseDate>
                <footnoteId id="F1"/>
            </exerciseDate>
            <expirationDate>
                <footnoteId id="F1"/>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>6875</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>6875</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeTransaction>
    </derivativeTable>

    <footnotes>
        <footnote id="F1">Deferred stock units earned by the reporting person pursuant to the Company's 2006 Long-Term Incentive Program in an amount approved on the transaction date by the Company's Compensation and Management Development Committee.  The deferred stock units are deferred to the Deferred Compensation Plan and are payable to the reporting person in common stock on a one-for-one basis six months following termination of employment.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Christopher A. Brown</signatureName>
        <signatureDate>2009-04-28</signatureDate>
    </ownerSignature>
</ownershipDocument>
</XML>
</TEXT>
</DOCUMENT>
</SEC-DOCUMENT>
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