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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2019-08-22</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0000059440</issuerCik>
        <issuerName>VECTOR GROUP LTD</issuerName>
        <issuerTradingSymbol>VGR</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001005790</rptOwnerCik>
            <rptOwnerName>LEBOW BENNETT S</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>667 MADISON AVENUE</rptOwnerStreet1>
            <rptOwnerStreet2>14TH FLOOR</rptOwnerStreet2>
            <rptOwnerCity>NEW YORK</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>10065</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2019-08-22</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>J</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
                <footnoteId id="F1"/>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>865605</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>12.39</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                    <footnoteId id="F1"/>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>2070911</value>
                    <footnoteId id="F1"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
        <nonDerivativeHolding>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>4554666</value>
                    <footnoteId id="F1"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>By LeBow Gamma Limited Partnership</value>
                    <footnoteId id="F2"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeHolding>
        <nonDerivativeHolding>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>465395</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>By LeBow Alpha LLLP</value>
                    <footnoteId id="F3"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeHolding>
        <nonDerivativeHolding>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>193595</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>By LeBow Epsilon 2001 Limited Partnership</value>
                    <footnoteId id="F4"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeHolding>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">On August 22, 2019, the Reporting Person acquired direct beneficial ownership of 865,605 shares of common stock (the &quot;Shares&quot;) of Vector Group Ltd. (&quot;VGR&quot;) previously directly owned by LeBow Gamma Limited Partnership, in exchange for cash and a note issued by a third party affiliated with the Reporting Person. As discussed below, the Reporting Person has a pecuniary interest in shares of VGR's common stock held by LeBow Gamma Limited Partnership, and his acquisition of the Shares constituted a purchase to the extent that the acquisition increased the Reporting Person's pecuniary interest in the Shares, and constituted a change in form of beneficial ownership, exempted by Rule 16a-13 under the Securities Exchange Act of 1934 (the &quot;Act&quot;), as to the remaining Shares.</footnote>
        <footnote id="F2">LeBow Gamma Limited Partnership is a Delaware limited partnership. LeBow 2011 Management Trust is the managing member of LeBow Holdings LLC, a Delaware limited liability company, which is the sole stockholder of LeBow Gamma, Inc., a Nevada corporation, which is the general partner of LeBow Gamma Limited Partnership. Mr. LeBow is trustee of LeBow 2011 Management Trust and a director and officer of LeBow Gamma, Inc. Mr. LeBow disclaims beneficial ownership for purposes of Section 16 of the Act of the Issuer's common stock held by LeBow Gamma Limited Partnership except to the extent of his pecuniary interest therein.</footnote>
        <footnote id="F3">LeBow Alpha LLLP is a Delaware limited liability limited partnership. LeBow Holdings LLC, a Delaware limited liability company, is the general partner of LeBow Alpha LLLP. LeBow 2011 Management Trust is the managing member of LeBow Holdings LLC. Mr. LeBow is trustee of LeBow 2011 Management Trust. Mr. LeBow disclaims beneficial ownership for purposes of Section 16 of the Act of the Issuer's common stock held by LeBow Alpha LLLP except to the extent of his pecuniary interest therein.</footnote>
        <footnote id="F4">LeBow Epsilon 2001 Limited Partnership is a Delaware limited partnership. LeBow Epsilon 2001 LLC, a Delaware limited liability company, is the general partner of LeBow Epsilon 2001 Limited Partnership. LeBow 2011 Management Trust is the managing member of LeBow Holdings LLC, a Delaware limited liability company, which is the general partner of LeBow Alpha LLLP, a Delaware limited liability limited partnership, which is the controlling member of LeBow Epsilon 2001 LLC. Mr. LeBow is trustee of LeBow 2011 Management Trust and a manager of LeBow Epsilon 2001 LLC. Mr. LeBow disclaims beneficial ownership for purposes of Section 16 of the  Act of the Issuer's common stock held by LeBow Epsilon 2001 Limited Partnership except to the extent of his pecuniary interest therein.</footnote>
    </footnotes>

    <remarks>Exhibit 24 - Power of Attorney (previously filed as Exhibit 24 to Form 4 dated September 16, 2014, which is dated September 17, 2014.)</remarks>

    <ownerSignature>
        <signatureName>/s/ J. Bryant Kirkland III, Attorney-in-fact</signatureName>
        <signatureDate>2019-08-23</signatureDate>
    </ownerSignature>
</ownershipDocument>
