<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0202</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2007-03-31</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0000888471</issuerCik>
        <issuerName>NESTOR PARTNERS</issuerName>
        <issuerTradingSymbol>None</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001294572</rptOwnerCik>
            <rptOwnerName>Beker Harvey</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O THE MILLBURN CORPORATION</rptOwnerStreet1>
            <rptOwnerStreet2>1270 AVENUE OF THE AMERICAS, 11TH FLOOR</rptOwnerStreet2>
            <rptOwnerCity>NEW YORK</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>10020</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>1</isOther>
            <otherText>See Remarks Below</otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Limited Partnership Interests</value>
            </securityTitle>
            <transactionDate>
                <value>2007-03-31</value>
            </transactionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>S</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>1</value>
                    <footnoteId id="F1"/>
                </transactionShares>
                <transactionPricePerShare>
                    <value>300000</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <valueOwnedFollowingTransaction>
                    <value>8132251</value>
                    <footnoteId id="F1"/>
                    <footnoteId id="F2"/>
                </valueOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                    <footnoteId id="F2"/>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>See Footnote</value>
                    <footnoteId id="F3"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">Interests in Nestor Partners are not unitized or divided into shares and cannot be expresssed in terms of a number of shares.</footnote>
        <footnote id="F2">This amount includes direct ownership in the amount of $692,468 and the remainder of this amount is owned indirectly in the capacities indicated below.</footnote>
        <footnote id="F3">Indirect ownership includes Interests in Nestor Partners owned indirectly as President of the Beker Foundation, by self through The Millburn Corporation Profit Sharing and 401(k) Savings Plan, by a child of Mr. Beker and by Mr. Beker's spouse.</footnote>
    </footnotes>

    <remarks>Mr. Beker serves as Co-Chief Executive Officer and Co-Chairman of Millburn Ridgefield Corporation, the general partner of Nestor Partners.</remarks>

    <ownerSignature>
        <signatureName>Harvey Beker</signatureName>
        <signatureDate>2007-04-02</signatureDate>
    </ownerSignature>
</ownershipDocument>
