<SUBMISSION>
<ACCESSION-NUMBER>0001019687-16-005533
<TYPE>4/A
<PUBLIC-DOCUMENT-COUNT>1
<PERIOD>20160305
<FILING-DATE>20160321
<DATE-OF-FILING-DATE-CHANGE>20160321
<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>
<REPORTING-OWNER>
<OWNER-DATA>
<CONFORMED-NAME>Thomsen Brian
<CIK>0001606894
</OWNER-DATA>
<FILING-VALUES>
<FORM-TYPE>4/A
<ACT>34
<FILE-NUMBER>001-16625
<FILM-NUMBER>161519384
</FILING-VALUES>
<MAIL-ADDRESS>
<STREET1>C/O BUNGE LIMITED
<STREET2>50 MAIN STREET, 6TH FLOOR
<CITY>WHITE PLAINS
<STATE>NY
<ZIP>10606
</MAIL-ADDRESS>
</REPORTING-OWNER>
<DOCUMENT>
<TYPE>4/A
<SEQUENCE>1
<FILENAME>thomsen_f4a-030516.xml
<DESCRIPTION>OWNERSHIP DOCUMENT
<TEXT>
<XML>
<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0306</schemaVersion>

    <documentType>4/A</documentType>

    <periodOfReport>2016-03-05</periodOfReport>

    <dateOfOriginalSubmission>2016-03-08</dateOfOriginalSubmission>

    <notSubjectToSection16>0</notSubjectToSection16>

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

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001606894</rptOwnerCik>
            <rptOwnerName>Thomsen Brian</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O BUNGE LIMITED</rptOwnerStreet1>
            <rptOwnerStreet2>50 MAIN STREET, 6TH FLOOR</rptOwnerStreet2>
            <rptOwnerCity>WHITE PLAINS</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>10606</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>1</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>See Remarks Below</officerTitle>
            <otherText></otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2016-03-05</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>F</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness></transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>51</value>
                    <footnoteId id="F1"/>
                </transactionShares>
                <transactionPricePerShare>
                    <value>55.19</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>28063</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">Represents the withholding of shares of common stock pursuant to the terms of the 2009 Bunge Limited Equity Incentive Plan for the purposes of the payment of tax liability incident to the vesting and settlement of PBRSUs.</footnote>
    </footnotes>

    <remarks>MD, Bunge Global Agribusiness and CEO, Bunge Product Lines</remarks>

    <ownerSignature>
        <signatureName>/s/ John Tropeano, Attorney-in-Fact</signatureName>
        <signatureDate>2016-03-21</signatureDate>
    </ownerSignature>
</ownershipDocument>
</XML>
</TEXT>
</DOCUMENT>
</SUBMISSION>
