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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4/A</documentType>

    <periodOfReport>2018-05-16</periodOfReport>

    <dateOfOriginalSubmission>2018-05-16</dateOfOriginalSubmission>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0000055067</issuerCik>
        <issuerName>KELLOGG CO</issuerName>
        <issuerTradingSymbol>K</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001197921</rptOwnerCik>
            <rptOwnerName>KELLOGG W K FOUNDATION TRUST</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O THE NORTHERN TRUST COMPANY</rptOwnerStreet1>
            <rptOwnerStreet2>50 S. LASALLE</rptOwnerStreet2>
            <rptOwnerCity>CHICAGO</rptOwnerCity>
            <rptOwnerState>IL</rptOwnerState>
            <rptOwnerZipCode>60603</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001197916</rptOwnerCik>
            <rptOwnerName>KELLOGG W K FOUNDATION</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>ONE MICHIGAN AVENUE EAST</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>BATTLE CREEK</rptOwnerCity>
            <rptOwnerState>MI</rptOwnerState>
            <rptOwnerZipCode>49017</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2018-05-16</value>
            </transactionDate>
            <deemedExecutionDate>
                <value>2018-05-16</value>
            </deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>S</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>175000</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>61.3684</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>66641838</value>
                    <footnoteId id="F1"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">66,641,838 shares were owned following the reported transaction by the W.K. Kellogg Foundation Trust (the &quot;Trust&quot;) of which LaJune Montgomery Tabron, Steve Cahillane, Roderick D. Gillum and The Northern Trust Company are Trustees and the W.K. Kellogg Foundation (the &quot;Foundation&quot;) is the sole beneficiary.</footnote>
    </footnotes>

    <remarks>The sales reported on this Form 4 were made pursuant to trading instructions given by the W.K. Kellogg Foundation Trust on May 24,2017 that are intended to comply with Rule 10b5-1(c) under the Securities and Exchange Act of 1934.

This Form 4/A is being filed to amend the Form 4 filed on May 16, 2018 to correct the following typographical error:

 (1) Table 1, Item 5, Amount of Securities Beneficially Owned Following Reported Transaction to reflect the correct amount.</remarks>

    <ownerSignature>
        <signatureName>Craig R. Carberry, Associate General Counsel,
The Northern Trust Company, as Corporate
Trustee of the W.K. Kellogg Foundation Trust
and signing for the W.K. Kellogg Foundation
pursuant to a Power of Attorney dated August
30, 2017</signatureName>
        <signatureDate>2018-06-06</signatureDate>
    </ownerSignature>
</ownershipDocument>
