-----BEGIN PRIVACY-ENHANCED MESSAGE-----
Proc-Type: 2001,MIC-CLEAR
Originator-Name: webmaster@www.sec.gov
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 TWSM7vrzLADbmYQaionwg5sDW3P6oaM5D3tdezXMm7z1T+B+twIDAQAB
MIC-Info: RSA-MD5,RSA,
 PIMzKPMLaV49rSXKgXxUCDGBfg6TdGxICuHAcxWHdE7a69LIjySHDxjACipHpWMK
 TabZ+ZcPPYUykaZlEnjalg==

<SEC-DOCUMENT>0001046257-04-000042.txt : 20040430
<SEC-HEADER>0001046257-04-000042.hdr.sgml : 20040430
<ACCEPTANCE-DATETIME>20040430173347
ACCESSION NUMBER:		0001046257-04-000042
CONFORMED SUBMISSION TYPE:	4
PUBLIC DOCUMENT COUNT:		1
CONFORMED PERIOD OF REPORT:	20040430
FILED AS OF DATE:		20040430

ISSUER:		

	COMPANY DATA:	
		COMPANY CONFORMED NAME:			CORN PRODUCTS INTERNATIONAL INC
		CENTRAL INDEX KEY:			0001046257
		STANDARD INDUSTRIAL CLASSIFICATION:	CANNED, FROZEN & PRESERVED FRUIT, VEG & FOOD SPECIALTIES [2030]
		IRS NUMBER:				223514823
		STATE OF INCORPORATION:			DE
		FISCAL YEAR END:			1231

	BUSINESS ADDRESS:	
		STREET 1:		5 WESTBROOK CORPORATE CENTER
		CITY:			WESTCHESTER
		STATE:			IL
		ZIP:			60154
		BUSINESS PHONE:		7085512600

	MAIL ADDRESS:	
		STREET 1:		CORN PRODUCTS INTERNATIONAL INC
		STREET 2:		PO BOX 7100
		CITY:			WESTCHESTER
		STATE:			IL
		ZIP:			60154

REPORTING-OWNER:	

	OWNER DATA:	
		COMPANY CONFORMED NAME:			ARANGUREN LUIS
		CENTRAL INDEX KEY:			0001234357

	FILING VALUES:
		FORM TYPE:		4
		SEC ACT:		1934 Act
		SEC FILE NUMBER:	001-13397
		FILM NUMBER:		04771030

	MAIL ADDRESS:	
		STREET 1:		5 WESTBROOK CORPORATE CENTER
		CITY:			WESTCHESTER
		STATE:			IL
		ZIP:			60154

	FORMER NAME:	
		FORMER CONFORMED NAME:	TRELLEZ LUIS ARANGUREN
		DATE OF NAME CHANGE:	20030520
</SEC-HEADER>
<DOCUMENT>
<TYPE>4
<SEQUENCE>1
<FILENAME>c0001234357d20040430f4f.xml
<DESCRIPTION>PRIMARY DOCUMENT
<TEXT>
<XML>
<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0202</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2004-04-30</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0001046257</issuerCik>
        <issuerName>CORN PRODUCTS INTERNATIONAL INC</issuerName>
        <issuerTradingSymbol>CPO</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001234357</rptOwnerCik>
            <rptOwnerName>ARANGUREN LUIS</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>5 WESTBROOK CORPORATE CENTER</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>WESTCHESTER</rptOwnerCity>
            <rptOwnerState>IL</rptOwnerState>
            <rptOwnerZipCode>60154</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</value>
            </securityTitle>
            <transactionDate>
                <value>2004-04-30</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>D</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>7500</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>0</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>1475200</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>by Inmobiliaria Persifone, S.A. de C.V.</value>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
        <nonDerivativeHolding>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>413500</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>by Tesoreria y Valores, S.A. de C.V.</value>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeHolding>
    </nonDerivativeTable>

    <derivativeTable></derivativeTable>

    <footnotes></footnotes>

    <ownerSignature>
        <signatureName>Marcia E. Doane, Attorney in fact</signatureName>
        <signatureDate>2004-04-30</signatureDate>
    </ownerSignature>
</ownershipDocument>

</XML>
</TEXT>
</DOCUMENT>
</SEC-DOCUMENT>
-----END PRIVACY-ENHANCED MESSAGE-----