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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2019-03-01</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0001311370</issuerCik>
        <issuerName>Lazard Ltd</issuerName>
        <issuerTradingSymbol>LAZ</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001073157</rptOwnerCik>
            <rptOwnerName>JACOBS KENNETH M</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O LAZARD LTD</rptOwnerStreet1>
            <rptOwnerStreet2>30 ROCKEFELLER PLAZA</rptOwnerStreet2>
            <rptOwnerCity>NEW YORK</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>10112</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>1</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>Chairman and CEO</officerTitle>
        </reportingOwnerRelationship>
    </reportingOwner>

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                <value>Class A Common Stock</value>
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            <deemedExecutionDate></deemedExecutionDate>
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                <value></value>
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                    <value>8050</value>
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                <transactionPricePerShare>
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        <nonDerivativeTransaction>
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                <value></value>
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        <nonDerivativeTransaction>
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            <transactionDate>
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            <transactionTimeliness>
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                <sharesOwnedFollowingTransaction>
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            <securityTitle>
                <value>Class A Common Stock</value>
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            <transactionDate>
                <value>2019-03-01</value>
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                    <value>A</value>
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        </nonDerivativeTransaction>
        <nonDerivativeHolding>
            <securityTitle>
                <value>Class A Common Stock</value>
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                <sharesOwnedFollowingTransaction>
                    <value>584279</value>
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            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>By Trust</value>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeHolding>
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    <derivativeTable>
        <derivativeTransaction>
            <securityTitle>
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                <footnoteId id="F6"/>
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            <transactionDate>
                <value>2019-03-01</value>
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                <equitySwapInvolved>0</equitySwapInvolved>
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            <transactionTimeliness>
                <value></value>
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            <transactionAmounts>
                <transactionShares>
                    <value>14036</value>
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                <transactionPricePerShare>
                    <footnoteId id="F7"/>
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                <transactionAcquiredDisposedCode>
                    <value>A</value>
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            <exerciseDate>
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            </exerciseDate>
            <expirationDate>
                <footnoteId id="F8"/>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Class A Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>14036</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>14036</value>
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                    <value>D</value>
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        <derivativeTransaction>
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                <value>Restricted Stock Units</value>
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            <transactionDate>
                <value>2019-03-01</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
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                <transactionFormType>4</transactionFormType>
                <transactionCode>M</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
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            <transactionTimeliness>
                <value></value>
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            <transactionAmounts>
                <transactionShares>
                    <value>8050</value>
                </transactionShares>
                <transactionPricePerShare>
                    <footnoteId id="F7"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
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            <exerciseDate>
                <value>2019-03-01</value>
            </exerciseDate>
            <expirationDate>
                <value>2019-03-01</value>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Class A Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>8050</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>5986</value>
                </sharesOwnedFollowingTransaction>
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            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
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        </derivativeTransaction>
        <derivativeTransaction>
            <securityTitle>
                <value>Restricted Stock Units</value>
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            <conversionOrExercisePrice>
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            <transactionDate>
                <value>2019-03-01</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
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                <transactionFormType>4</transactionFormType>
                <transactionCode>M</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
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                <value></value>
            </transactionTimeliness>
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                <transactionShares>
                    <value>5986</value>
                </transactionShares>
                <transactionPricePerShare>
                    <footnoteId id="F2"/>
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                <transactionAcquiredDisposedCode>
                    <value>D</value>
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            <exerciseDate>
                <footnoteId id="F2"/>
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            <expirationDate>
                <footnoteId id="F2"/>
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            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Restricted Class A Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>5986</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
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                <sharesOwnedFollowingTransaction>
                    <value>0</value>
                </sharesOwnedFollowingTransaction>
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                <directOrIndirectOwnership>
                    <value>D</value>
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    </derivativeTable>

    <footnotes>
        <footnote id="F1">Shares of unrestricted Class A Common Stock were acquired upon the vesting of a prior grant of Performance-based Restricted Stock Units (&quot;PRSUs&quot;) awarded with respect to compensation for 2015, including certain Restricted Stock Units (&quot;RSUs&quot;) that had been acquired pursuant to the dividend equivalent reinvestment provisions of the underlying PRSU award. The grant was previously reflected in the Company's proxy statements. The PRSUs and RSUs that had been acquired pursuant to the award had previously been converted into shares of Restricted Class A Common Stock in connection with the reporting person's retirement eligibility and such shares remained subject to vesting.</footnote>
        <footnote id="F2">RSUs granted to the reporting person pursuant to the dividend equivalent reinvestment provisions of underlying PRSU awards have become subject to taxation and have been settled in the form of Restricted Class A Common Stock. The Restricted Class A Common Stock, excluding the portion that the reporting person is permitted to sell in order to pay the related taxes (in accordance with the applicable award agreement), will remain subject to all restrictive covenants and sales restrictions contained in the underlying award agreements until the original vesting dates set forth therein.</footnote>
        <footnote id="F3">Represents the portion of Restricted Class A Common Stock that the reporting person is permitted to sell solely in order to pay the taxes in connection with the settlement of the RSUs referenced in Footnote (2) (in accordance with the applicable award agreement).</footnote>
        <footnote id="F4">Represents shares of Class A Common Stock sold to the Company to cover estimated taxes arising from the settlement of RSUs.</footnote>
        <footnote id="F5">Represents the New York Stock Exchange closing price of Class A Common Stock on the trading day immediately preceding the settlement date of the RSUs referenced in Footnote (2).</footnote>
        <footnote id="F6">Additional RSUs were acquired pursuant to the dividend equivalent reinvestment provisions of underlying PRSU awards.</footnote>
        <footnote id="F7">Each RSU represents a contingent right to receive one share of Class A Common Stock.</footnote>
        <footnote id="F8">Of these RSUs, 8,050 vested on March 1, 2019, 2,793 will vest on or around March 2, 2020, and 3,193 will vest on or around March 1, 2021.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Kenneth M. Jacobs by Scott D. Hoffman under a P of A</signatureName>
        <signatureDate>2019-03-05</signatureDate>
    </ownerSignature>
</ownershipDocument>
