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Proc-Type: 2001,MIC-CLEAR
Originator-Name: webmaster@www.sec.gov
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<SEC-DOCUMENT>0001209191-09-006135.txt : 20090203
<SEC-HEADER>0001209191-09-006135.hdr.sgml : 20090203
<ACCEPTANCE-DATETIME>20090203160216
ACCESSION NUMBER:		0001209191-09-006135
CONFORMED SUBMISSION TYPE:	4
PUBLIC DOCUMENT COUNT:		1
CONFORMED PERIOD OF REPORT:	20081217
FILED AS OF DATE:		20090203
DATE AS OF CHANGE:		20090203

REPORTING-OWNER:	

	OWNER DATA:	
		COMPANY CONFORMED NAME:			DIMOND ROBERT B
		CENTRAL INDEX KEY:			0001229230

	FILING VALUES:
		FORM TYPE:		4
		SEC ACT:		1934 Act
		SEC FILE NUMBER:	000-00785
		FILM NUMBER:		09565065

	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>2008-12-17</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

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

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001229230</rptOwnerCik>
            <rptOwnerName>DIMOND ROBERT B</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 and C</officerTitle>
        </reportingOwnerRelationship>
    </reportingOwner>

    <derivativeTable>
        <derivativeTransaction>
            <securityTitle>
                <value>Stock Appreciation Right</value>
                <footnoteId id="F1"/>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>38.44</value>
            </conversionOrExercisePrice>
            <transactionDate>
                <value>2008-12-17</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>27501</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>38.44</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <exerciseDate>
                <footnoteId id="F2"/>
            </exerciseDate>
            <expirationDate>
                <footnoteId id="F3"/>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Stock</value>
                    <footnoteId id="F4"/>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <footnoteId id="F4"/>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>27501</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeTransaction>
    </derivativeTable>

    <footnotes>
        <footnote id="F1">Stock Appreciation Right (SAR) granted under the 2000 Stock Incentive Plan.</footnote>
        <footnote id="F2">The SAR becomes exercisable after the date on which the average of the closing prices for the share of Common Stock for the 90 previous market days is at least $55.00 (Vesting Date),upon a change in control or upon the death or disability of the reporting person; provided, however,the SAR may not be exercised prior to the six-month anniversary of the grant date.</footnote>
        <footnote id="F3">The SAR may not be exercised on or after the earlier of: (a) the date that is 24 months after the Vesting Date, or (b) the tenth anniversary of the grant date.</footnote>
        <footnote id="F4">Upon exercise of the SAR, the reporting person will receive a number of shares of the Company's restricted Common Stock equal to (a) the product of (i) the number of shares with respect to which the SAR is exercised and (ii) the excess, if any, of (x) the fair market value per share of Common Stock upon the date of such exercise over (y) $38.44 per share, divided by (b) the fair market value of a share of Common Stock on the date such SAR is exercised.  These shares of restricted stock will vest on the first anniversary of the exercise date so long as the reporting person has remained continuously employed with the Company or one of its subsidiaries.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Robert B. Dimond</signatureName>
        <signatureDate>2009-02-03</signatureDate>
    </ownerSignature>
</ownershipDocument>
</XML>
</TEXT>
</DOCUMENT>
</SEC-DOCUMENT>
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