<SUBMISSION>
<ACCESSION-NUMBER>0001019687-13-002120
<TYPE>4
<PUBLIC-DOCUMENT-COUNT>1
<PERIOD>20130524
<FILING-DATE>20130529
<DATE-OF-FILING-DATE-CHANGE>20130529
<REPORTING-OWNER>
<OWNER-DATA>
<CONFORMED-NAME>HYLE KATHLEEN W
<CIK>0001117310
</OWNER-DATA>
<FILING-VALUES>
<FORM-TYPE>4
<ACT>34
<FILE-NUMBER>001-16625
<FILM-NUMBER>13879542
</FILING-VALUES>
<MAIL-ADDRESS>
<STREET1>ANC RENTAL CORP
<STREET2>200 S ANDREWS AVE PLAZA 11TH FL
<CITY>FT LAUDERDALE
<STATE>FL
<ZIP>33301
</MAIL-ADDRESS>
</REPORTING-OWNER>
<ISSUER>
<COMPANY-DATA>
<CONFORMED-NAME>Bunge LTD
<CIK>0001144519
<ASSIGNED-SIC>2070
<IRS-NUMBER>000000000
<FISCAL-YEAR-END>1231
</COMPANY-DATA>
<BUSINESS-ADDRESS>
<STREET1>50 MAIN STREET
<STREET2>6TH FLOOR
<CITY>WHITE PLAINS
<STATE>NY
<ZIP>10606
<PHONE>914-684-2800
</BUSINESS-ADDRESS>
<MAIL-ADDRESS>
<STREET1>50 MAIN STREET
<STREET2>6TH FLOOR
<CITY>WHITE PLAINS
<STATE>NY
<ZIP>10606
</MAIL-ADDRESS>
<FORMER-COMPANY>
<FORMER-CONFORMED-NAME>BUNGE LTD
<DATE-CHANGED>20010710
</FORMER-COMPANY>
</ISSUER>
<DOCUMENT>
<TYPE>4
<SEQUENCE>1
<FILENAME>hyle_frm4-052413.xml
<DESCRIPTION>FORM 4
<TEXT>
<XML>
<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2013-05-24</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0001144519</issuerCik>
        <issuerName>Bunge LTD</issuerName>
        <issuerTradingSymbol>BG</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001117310</rptOwnerCik>
            <rptOwnerName>HYLE KATHLEEN W</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O BUNGE LTD.</rptOwnerStreet1>
            <rptOwnerStreet2>50 MAIN STREET - 6TH FLOOR</rptOwnerStreet2>
            <rptOwnerCity>WHITE PLAINS</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>10606</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>
                <footnoteId id="F1"/>
            </securityTitle>
            <transactionDate>
                <value>2013-05-24</value>
                <footnoteId id="F2"/>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness></transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>1665</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>0</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>5628</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">Represents a grant to the reporting person of Restricted Stock Units (&quot;RSUs&quot;) on May 24, 2013 (the &quot;date of grant&quot;). Each RSU represents a contingent right to receive one share of BG common stock upon the settlement date.</footnote>
        <footnote id="F2">Each RSU fully vests on the first anniversary of the date of grant and settles as soon as practicable thereafter.</footnote>
    </footnotes>

    <ownerSignature>
        <signatureName>/s/ John Tropeano, Attorney-In-Fact</signatureName>
        <signatureDate>2013-05-29</signatureDate>
    </ownerSignature>
</ownershipDocument>
</XML>
</TEXT>
</DOCUMENT>
</SUBMISSION>
