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Proc-Type: 2001,MIC-CLEAR
Originator-Name: webmaster@www.sec.gov
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<SEC-DOCUMENT>0001140361-08-018903.txt : 20080811
<SEC-HEADER>0001140361-08-018903.hdr.sgml : 20080811
<ACCEPTANCE-DATETIME>20080811173027
ACCESSION NUMBER:		0001140361-08-018903
CONFORMED SUBMISSION TYPE:	4
PUBLIC DOCUMENT COUNT:		1
CONFORMED PERIOD OF REPORT:	20080810
FILED AS OF DATE:		20080811
DATE AS OF CHANGE:		20080811

ISSUER:		

	COMPANY DATA:	
		COMPANY CONFORMED NAME:			SENECA FOODS CORP /NY/
		CENTRAL INDEX KEY:			0000088948
		STANDARD INDUSTRIAL CLASSIFICATION:	CANNED, FRUITS, VEG & PRESERVES, JAMS & JELLIES [2033]
		IRS NUMBER:				160733425
		STATE OF INCORPORATION:			NY
		FISCAL YEAR END:			0629

	BUSINESS ADDRESS:	
		STREET 1:		3736 SOUTH MAIN STREET
		CITY:			MARION
		STATE:			NY
		ZIP:			14505
		BUSINESS PHONE:		315 926 8100

	MAIL ADDRESS:	
		STREET 1:		3736 SOUTH MAIN STREET
		CITY:			MARION
		STATE:			NY
		ZIP:			14505

	FORMER COMPANY:	
		FORMER CONFORMED NAME:	PIERCE S S COMPANY INC
		DATE OF NAME CHANGE:	19861210

	FORMER COMPANY:	
		FORMER CONFORMED NAME:	SENECA FOODS CORP
		DATE OF NAME CHANGE:	19780425

	FORMER COMPANY:	
		FORMER CONFORMED NAME:	SENECA GRAPE JUICE CORP
		DATE OF NAME CHANGE:	19710419

REPORTING-OWNER:	

	OWNER DATA:	
		COMPANY CONFORMED NAME:			Exner John David
		CENTRAL INDEX KEY:			0001348503

	FILING VALUES:
		FORM TYPE:		4
		SEC ACT:		1934 Act
		SEC FILE NUMBER:	000-01989
		FILM NUMBER:		081007499

	BUSINESS ADDRESS:	
		BUSINESS PHONE:		315-926-8100

	MAIL ADDRESS:	
		STREET 1:		3736 SOUTH MAIN STREET
		CITY:			MARION
		STATE:			NY
		ZIP:			14505
</SEC-HEADER>
<DOCUMENT>
<TYPE>4
<SEQUENCE>1
<FILENAME>doc1.xml
<DESCRIPTION>FORM 4
<TEXT>
<XML>
<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0303</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2008-08-10</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0000088948</issuerCik>
        <issuerName>SENECA FOODS CORP /NY/</issuerName>
        <issuerTradingSymbol>SENEA</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001348503</rptOwnerCik>
            <rptOwnerName>Exner John David</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>3736 SOUTH MAIN STREET</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>MARION</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>14505</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>1</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>General Counsel</officerTitle>
            <otherText></otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Seneca Foods Class A Common</value>
            </securityTitle>
            <transactionDate>
                <value>2007-08-10</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>610</value>
                </transactionShares>
                <transactionPricePerShare>
                    <footnoteId id="F1"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>1089</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
        <nonDerivativeHolding>
            <securityTitle>
                <value>Seneca Class A Common</value>
            </securityTitle>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>120.3</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>401-K Match</value>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeHolding>
        <nonDerivativeHolding>
            <securityTitle>
                <value>Seneca Class B Common</value>
            </securityTitle>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>21.7</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>401-K Match</value>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeHolding>
    </nonDerivativeTable>

    <derivativeTable></derivativeTable>

    <footnotes>
        <footnote id="F1">Award of restricted stock pursuant to the Company's 2007 Equity Incentive Plan, which was approved by the shareholders of the Company on August 10, 2007.  No price was paid by the Reporting Person in connection with this award of shares of restricted stock which vest 25% per year over the next four years.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>Jeffrey L. Van Riper, As Attorney in Fact</signatureName>
        <signatureDate>2008-08-11</signatureDate>
    </ownerSignature>
</ownershipDocument>
</XML>
</TEXT>
</DOCUMENT>
</SEC-DOCUMENT>
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