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

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

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            <rptOwnerName>BHUTANI ASHISH</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O LAZARD LTD</rptOwnerStreet1>
            <rptOwnerStreet2>30 ROCKEFELLER PLAZA</rptOwnerStreet2>
            <rptOwnerCity>NEW YORK</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>10112</rptOwnerZipCode>
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            <isOfficer>1</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>CEO of Lazard Asset Management</officerTitle>
        </reportingOwnerRelationship>
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                <value></value>
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                    <value>4257</value>
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    <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">Certain 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 retained by the Company in order to cover taxes required to be withheld, 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 shares of Class A Common Stock retained by the Company to cover taxes required to be withheld in connection with the settlement of RSUs.</footnote>
        <footnote id="F4">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="F5">Additional RSUs were acquired pursuant to the dividend equivalent reinvestment provisions of underlying PRSU awards.</footnote>
        <footnote id="F6">Each RSU represents a contingent right to receive one share of Class A Common Stock.</footnote>
        <footnote id="F7">Of these RSUs, 5,479 vested on March 1, 2019, 1,958 will vest on or around March 2, 2020, and 2,299 will vest on or around March 1, 2021.</footnote>
    </footnotes>

    <remarks></remarks>

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