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    <issuer>
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        <issuerName>SIGA TECHNOLOGIES INC</issuerName>
        <issuerTradingSymbol>SIGA</issuerTradingSymbol>
    </issuer>

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            <rptOwnerCik>0001835535</rptOwnerCik>
            <rptOwnerName>Nemirovsky Julian</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O SIGA TECHNOLOGIES, INC.</rptOwnerStreet1>
            <rptOwnerStreet2>31 EAST 62ND STREET</rptOwnerStreet2>
            <rptOwnerCity>NEW YORK</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>10065</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
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            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
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    <footnotes>
        <footnote id="F1">Restricted stock units (&quot;RSUs&quot;) represent contingent rights to receive common stock of SIGA Technologies, Inc. (the &quot;Company&quot;) on a one-for-one basis.</footnote>
        <footnote id="F2">Reflects RSUs that were cash-settled, per the terms of the compensation program for Board Directors and as noted on the Form 4 filed on June 17, 2021. Partial cash-settlement of RSUs under the Board compensation program is designed to address tax obligations in connection with the vesting of RSUs.</footnote>
        <footnote id="F3">The RSUs were granted on June 15, 2021, and fully vested on the date of the Company's 2022 annual meeting of stockholders.</footnote>
        <footnote id="F4">RSUs represent contingent rights to receive common stock of the Company on a one-for-one basis, of which up to 4,386 RSUs are expected to settle in cash value thereof but may be settled in shares at the discretion of the board of directors.</footnote>
        <footnote id="F5">The RSUs fully vest on the date of the Company's 2023 annual meeting of stockholders.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Kevin Buckley, as Attorney-in-Fact</signatureName>
        <signatureDate>2022-06-15</signatureDate>
    </ownerSignature>
</ownershipDocument>
