-----BEGIN PRIVACY-ENHANCED MESSAGE-----
Proc-Type: 2001,MIC-CLEAR
Originator-Name: webmaster@www.sec.gov
Originator-Key-Asymmetric:
 MFgwCgYEVQgBAQICAf8DSgAwRwJAW2sNKK9AVtBzYZmr6aGjlWyK3XmZv3dTINen
 TWSM7vrzLADbmYQaionwg5sDW3P6oaM5D3tdezXMm7z1T+B+twIDAQAB
MIC-Info: RSA-MD5,RSA,
 Kl2nrRQ3snuejeu86MuHW+brVekNLCulNQ5uii7hw8H88Y1g8+RCQsph8K+2us1r
 jvxUskuZB3Mhvz98Uiyghw==

<SEC-DOCUMENT>0001209191-09-006136.txt : 20090203
<SEC-HEADER>0001209191-09-006136.hdr.sgml : 20090203
<ACCEPTANCE-DATETIME>20090203160320
ACCESSION NUMBER:		0001209191-09-006136
CONFORMED SUBMISSION TYPE:	4
PUBLIC DOCUMENT COUNT:		1
CONFORMED PERIOD OF REPORT:	20081217
FILED AS OF DATE:		20090203
DATE AS OF CHANGE:		20090203

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

REPORTING-OWNER:	

	OWNER DATA:	
		COMPANY CONFORMED NAME:			Mahoney Kathleen M
		CENTRAL INDEX KEY:			0001371485

	FILING VALUES:
		FORM TYPE:		4
		SEC ACT:		1934 Act
		SEC FILE NUMBER:	000-00785
		FILM NUMBER:		09565074

	BUSINESS ADDRESS:	
		BUSINESS PHONE:		952-844-1262

	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>2008-12-17</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

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

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001371485</rptOwnerCik>
            <rptOwnerName>Mahoney Kathleen M</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O NASH FINCH COMPANY</rptOwnerStreet1>
            <rptOwnerStreet2>7600 FRANCE AVE S</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>Sr. Vice President</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>21668</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>21668</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/ Kathleen M. Mahoney</signatureName>
        <signatureDate>2009-02-03</signatureDate>
    </ownerSignature>
</ownershipDocument>
</XML>
</TEXT>
</DOCUMENT>
</SEC-DOCUMENT>
-----END PRIVACY-ENHANCED MESSAGE-----