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Proc-Type: 2001,MIC-CLEAR
Originator-Name: webmaster@www.sec.gov
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<SEC-DOCUMENT>0001140361-08-018990.txt : 20080812
<SEC-HEADER>0001140361-08-018990.hdr.sgml : 20080812
<ACCEPTANCE-DATETIME>20080812135431
ACCESSION NUMBER:		0001140361-08-018990
CONFORMED SUBMISSION TYPE:	4
PUBLIC DOCUMENT COUNT:		1
CONFORMED PERIOD OF REPORT:	20080810
FILED AS OF DATE:		20080812
DATE AS OF CHANGE:		20080812

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:			Fohrd Cynthia Lynn
		CENTRAL INDEX KEY:			0001348507

	FILING VALUES:
		FORM TYPE:		4
		SEC ACT:		1934 Act
		SEC FILE NUMBER:	000-01989
		FILM NUMBER:		081009189

	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>0001348507</rptOwnerCik>
            <rptOwnerName>Fohrd Cynthia Lynn</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>Chief Administrative Officer</officerTitle>
            <otherText></otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Seneca Foods Class A Common</value>
            </securityTitle>
            <transactionDate>
                <value>2008-08-10</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 Foods Class A Common</value>
            </securityTitle>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>2888.1</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>401-K</value>
                    <footnoteId id="F2"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeHolding>
        <nonDerivativeHolding>
            <securityTitle>
                <value>Seneca Foods Class B Common</value>
            </securityTitle>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>484.5</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>401-K</value>
                    <footnoteId id="F2"/>
                </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>
        <footnote id="F2">401-K match and elective holdings.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>Jeffrey L. Van Riper, As Attorney in Fact</signatureName>
        <signatureDate>2008-08-12</signatureDate>
    </ownerSignature>
</ownershipDocument>
</XML>
</TEXT>
</DOCUMENT>
</SEC-DOCUMENT>
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