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Proc-Type: 2001,MIC-CLEAR
Originator-Name: webmaster@www.sec.gov
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<SEC-DOCUMENT>0001209191-10-024286.txt : 20100429
<SEC-HEADER>0001209191-10-024286.hdr.sgml : 20100429
<ACCEPTANCE-DATETIME>20100429161636
ACCESSION NUMBER:		0001209191-10-024286
CONFORMED SUBMISSION TYPE:	4
PUBLIC DOCUMENT COUNT:		1
CONFORMED PERIOD OF REPORT:	20100427
FILED AS OF DATE:		20100429
DATE AS OF CHANGE:		20100429

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:			0110

	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

REPORTING-OWNER:	

	OWNER DATA:	
		COMPANY CONFORMED NAME:			Covington Alec C
		CENTRAL INDEX KEY:			0001361492

	FILING VALUES:
		FORM TYPE:		4
		SEC ACT:		1934 Act
		SEC FILE NUMBER:	000-00785
		FILM NUMBER:		10781933

	MAIL ADDRESS:	
		STREET 1:		C/O NASH FINCH COMPANY
		STREET 2:		7600 FRANCE AVENUE SOUTH
		CITY:			MINNEAPOLIS
		STATE:			MN
		ZIP:			55435
</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>2010-04-27</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

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

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001361492</rptOwnerCik>
            <rptOwnerName>Covington Alec C</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>President &amp; Chief Executive Of</officerTitle>
        </reportingOwnerRelationship>
    </reportingOwner>

    <derivativeTable>
        <derivativeTransaction>
            <securityTitle>
                <value>Deferred Stock Unit</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <footnoteId id="F1"/>
            </conversionOrExercisePrice>
            <transactionDate>
                <value>2010-04-27</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>64489</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>64489</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>103978.6231</value>
                    <footnoteId id="F2"/>
                </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 2007 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>
        <footnote id="F2">Holdings include 894.6231 deferred stock units acquired since April 2009 as the result of reinvestment of dividends as provided in the plan.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Alec C. Covington</signatureName>
        <signatureDate>2010-04-29</signatureDate>
    </ownerSignature>
</ownershipDocument>
</XML>
</TEXT>
</DOCUMENT>
</SEC-DOCUMENT>
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