-----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,
 QgoWklr3+AiQrt5E+mUIuX8xPcwpI6XdH4H5o6whcqAlF13LmzxUzDhcrqUcjpbB
 rFJiZp533Yfk3WPqu1K39w==

<SEC-DOCUMENT>0001140361-10-023990.txt : 20100602
<SEC-HEADER>0001140361-10-023990.hdr.sgml : 20100602
<ACCEPTANCE-DATETIME>20100602191554
ACCESSION NUMBER:		0001140361-10-023990
CONFORMED SUBMISSION TYPE:	4
PUBLIC DOCUMENT COUNT:		1
CONFORMED PERIOD OF REPORT:	20100531
FILED AS OF DATE:		20100602
DATE AS OF CHANGE:		20100602

REPORTING-OWNER:	

	OWNER DATA:	
		COMPANY CONFORMED NAME:			Weinstein Michael Feder
		CENTRAL INDEX KEY:			0001375799

	FILING VALUES:
		FORM TYPE:		4
		SEC ACT:		1934 Act
		SEC FILE NUMBER:	001-03385
		FILM NUMBER:		10874104

	MAIL ADDRESS:	
		STREET 1:		NO-CAL BEVERAGE CO., LLC
		STREET 2:		350 THEODORE FREMD AVENUE
		CITY:			RYE
		STATE:			NY
		ZIP:			10580

ISSUER:		

	COMPANY DATA:	
		COMPANY CONFORMED NAME:			HEINZ H J CO
		CENTRAL INDEX KEY:			0000046640
		STANDARD INDUSTRIAL CLASSIFICATION:	CANNED, FROZEN & PRESERVED FRUIT, VEG & FOOD SPECIALTIES [2030]
		IRS NUMBER:				250542520
		STATE OF INCORPORATION:			PA
		FISCAL YEAR END:			0430

	BUSINESS ADDRESS:	
		STREET 1:		1 PPG PLACE
		STREET 2:		SUITE 3100
		CITY:			PITTSBURGH
		STATE:			PA
		ZIP:			15222-5448
		BUSINESS PHONE:		4124565700

	MAIL ADDRESS:	
		STREET 1:		P O BOX 57
		STREET 2:		P O BOX 57
		CITY:			PITTSBURGH
		STATE:			PA
		ZIP:			15230
</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>2010-05-31</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0000046640</issuerCik>
        <issuerName>HEINZ H J CO</issuerName>
        <issuerTradingSymbol>HNZ</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001375799</rptOwnerCik>
            <rptOwnerName>Weinstein Michael Feder</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>INOV8 BEVERAGE COMPANY LLC</rptOwnerStreet1>
            <rptOwnerStreet2>350 THEODORE FREMD AVENUE</rptOwnerStreet2>
            <rptOwnerCity>RYE</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>10580</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle></officerTitle>
            <otherText></otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock, $.25 Par Value</value>
                <footnoteId id="F1"/>
            </securityTitle>
            <transactionDate>
                <value>2010-05-31</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionAmounts>
                <transactionShares>
                    <value>160</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>44.18</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>19305</value>
                    <footnoteId id="F2"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <derivativeTable></derivativeTable>

    <footnotes>
        <footnote id="F1">Deferred stock units acquired as a result of previously elected deferral of cash compensation.</footnote>
        <footnote id="F2">Includes 16,305 shares of deferred stock units acquired as a result of previously elected deferral of cash and equity compensation and dividend equivalent reinvestment on those deferred stock units and 3,000 shares of common stock.  The total was adjusted to reduce the number of deferred units due to a third-party over-reporting error of dividend equivalents in April 2010.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Patrick J. Guinee, Attorney-in-Fact for Michael F. Weinstein</signatureName>
        <signatureDate>2010-06-02</signatureDate>
    </ownerSignature>
</ownershipDocument>
</XML>
</TEXT>
</DOCUMENT>
</SEC-DOCUMENT>
-----END PRIVACY-ENHANCED MESSAGE-----