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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2016-01-05</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>2016-01-05</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>S</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
                <footnoteId id="F1"/>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>100000</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>23.19</value>
                    <footnoteId id="F2"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>1367237</value>
                    <footnoteId id="F3"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>By LeBow Epsilon 2001 Limited Partnership</value>
                    <footnoteId id="F4"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
        <nonDerivativeHolding>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>1627241</value>
                    <footnoteId id="F3"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeHolding>
        <nonDerivativeHolding>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>6283576</value>
                    <footnoteId id="F3"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>By LeBow Gamma Limited Partnership</value>
                    <footnoteId id="F5"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeHolding>
        <nonDerivativeHolding>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>402027</value>
                    <footnoteId id="F3"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>By LeBow Alpha LLLP</value>
                    <footnoteId id="F6"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeHolding>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">The sales reported in this Form 4 were effected pursuant to a Rule 10b5-1 trading plan adopted by the reporting person on December 23, 2015.</footnote>
        <footnote id="F2">The price reported in Column 4 is a weighted average price. These shares were sold in multiple transactions at prices ranging from $23.03 to $23.33, inclusive. The reporting person undertakes to provide to the issuer, any security holder of the issuer, or the staff of the Securities and Exchange Commission, upon request, full information regarding the number of shares sold at each separate price within the ranges set forth in this footnote.</footnote>
        <footnote id="F3">Adjusted to give effect to the 5% stock dividend paid to the Issuer's stockholders on September 29, 2015.</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 Securities Exchange Act of 1934 of the Issuer's common stock held by LeBow Epsilon 2001 Limited Partnership except to the extent of his pecuniary interest therein.</footnote>
        <footnote id="F5">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 Securities Exchange Act of 1934 of the Issuer's common stock held by LeBow Gamma Limited Partnership except to the extent of his pecuniary interest therein.</footnote>
        <footnote id="F6">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 Securities Exchange Act of 1934 of the Issuer's common stock held by LeBow Alpha LLLP except to the extent of his pecuniary interest therein.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ J. Bryant Kirkland III, Attorney-in-fact</signatureName>
        <signatureDate>2016-01-05</signatureDate>
    </ownerSignature>
</ownershipDocument>
