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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2016-04-04</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0001124198</issuerCik>
        <issuerName>FLUOR CORP</issuerName>
        <issuerTradingSymbol>FLR</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001667607</rptOwnerCik>
            <rptOwnerName>Chopra Robin K</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O FLUOR CORPORATION</rptOwnerStreet1>
            <rptOwnerStreet2>6700 LAS COLINAS BLVD</rptOwnerStreet2>
            <rptOwnerCity>IRVING</rptOwnerCity>
            <rptOwnerState>TX</rptOwnerState>
            <rptOwnerZipCode>75039</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>1</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>Sr Vice President &amp; Controller</officerTitle>
        </reportingOwnerRelationship>
    </reportingOwner>

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                <value>Dividend Equivalent Rights</value>
            </securityTitle>
            <conversionOrExercisePrice>
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            <transactionDate>
                <value>2018-03-06</value>
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            <deemedExecutionDate></deemedExecutionDate>
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                <transactionCode>M</transactionCode>
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            <transactionTimeliness>
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            </transactionTimeliness>
            <transactionAmounts>
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                </transactionShares>
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            <expirationDate>
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            </underlyingSecurity>
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            </securityTitle>
            <conversionOrExercisePrice>
                <footnoteId id="F1"/>
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            <transactionDate>
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            <deemedExecutionDate></deemedExecutionDate>
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            <transactionTimeliness>
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                <transactionShares>
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                <transactionPricePerShare>
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                <transactionAcquiredDisposedCode>
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            <expirationDate>
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            </underlyingSecurity>
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                <sharesOwnedFollowingTransaction>
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            <securityTitle>
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            <conversionOrExercisePrice>
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                <value></value>
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                    <value>D</value>
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        <derivativeTransaction>
            <securityTitle>
                <value>Dividend Equivalent Rights</value>
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            <conversionOrExercisePrice>
                <footnoteId id="F1"/>
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    </derivativeTable>

    <footnotes>
        <footnote id="F1">The dividend equivalent rights accrued in respect of performance rights (for which the performance rating was determined on February 3, 2016) when and as quarterly dividends were paid on Fluor common stock.  Each dividend equivalent right represents a contingent right to receive one share of Fluor common stock.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Eric P. Helm by Power of Attorney</signatureName>
        <signatureDate>2018-05-31</signatureDate>
    </ownerSignature>
</ownershipDocument>
