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Proc-Type: 2001,MIC-CLEAR
Originator-Name: webmaster@www.sec.gov
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MIC-Info: RSA-MD5,RSA,
 GldgysHrVFO060PN0bmBe++fWt4/p8PWsKwkuZXSzx1RY7kpUHMCmguDnjIeLvCC
 PHGSEGIoZbLq0FuXolHrig==

<SEC-DOCUMENT>0001209191-10-030304.txt : 20100525
<SEC-HEADER>0001209191-10-030304.hdr.sgml : 20100525
<ACCEPTANCE-DATETIME>20100525165224
ACCESSION NUMBER:		0001209191-10-030304
CONFORMED SUBMISSION TYPE:	4
PUBLIC DOCUMENT COUNT:		1
CONFORMED PERIOD OF REPORT:	20100519
FILED AS OF DATE:		20100525
DATE AS OF CHANGE:		20100525

REPORTING-OWNER:	

	OWNER DATA:	
		COMPANY CONFORMED NAME:			DUNCAN SAM K
		CENTRAL INDEX KEY:			0001217660

	FILING VALUES:
		FORM TYPE:		4
		SEC ACT:		1934 Act
		SEC FILE NUMBER:	000-00785
		FILM NUMBER:		10857489

	MAIL ADDRESS:	
		STREET 1:		700 PILGRIM WAY
		CITY:			GREENBAY
		STATE:			WI
		ZIP:			54304

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
</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>2010-05-19</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

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

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001217660</rptOwnerCik>
            <rptOwnerName>DUNCAN SAM K</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O NASH FINCH COMPANY</rptOwnerStreet1>
            <rptOwnerStreet2>7600 FRANCE AVENUE S.</rptOwnerStreet2>
            <rptOwnerCity>EDINA</rptOwnerCity>
            <rptOwnerState>MN</rptOwnerState>
            <rptOwnerZipCode>55435</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <derivativeTable>
        <derivativeTransaction>
            <securityTitle>
                <value>Restricted stock units</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <footnoteId id="F1"/>
            </conversionOrExercisePrice>
            <transactionDate>
                <value>2010-05-19</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>1323.4516</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>37.78</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <exerciseDate>
                <footnoteId id="F2"/>
            </exerciseDate>
            <expirationDate>
                <footnoteId id="F2"/>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>1323.4516</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>4198.9026</value>
                    <footnoteId id="F3"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeTransaction>
    </derivativeTable>

    <footnotes>
        <footnote id="F1">Restricted stock units granted under the Nash-Finch Company 2009 Incentive Award Plan convert to common stock on a 1 for 1 basis.</footnote>
        <footnote id="F2">Each restricted stock unit vests on 11/19/2010, which is six months after the grant date, and will be settled for one share of Nash Finch common stock as soon as practicable after the date that is six months after the reporting person's service as a director of Nash Finch ends.</footnote>
        <footnote id="F3">Holdings include 29.1129 shares of restricted common stock acquired since November 2009 as the result of reinvestment of dividend equivalents as provided in the plan.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Kathleen Mahoney by Power of Attorney</signatureName>
        <signatureDate>2010-05-25</signatureDate>
    </ownerSignature>
</ownershipDocument>
</XML>
</TEXT>
</DOCUMENT>
</SEC-DOCUMENT>
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