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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2020-03-04</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>2020-03-04</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>S</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>125000</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>11.47</value>
                    <footnoteId id="F1"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>2191428</value>
                    <footnoteId id="F5"/>
                    <footnoteId id="F6"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>By LeBow Gamma Limited Partnership</value>
                    <footnoteId id="F3"/>
                    <footnoteId id="F5"/>
                    <footnoteId id="F6"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2020-03-05</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>S</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>125000</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>11.28</value>
                    <footnoteId id="F2"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>2066428</value>
                    <footnoteId id="F5"/>
                    <footnoteId id="F6"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>By LeBow Gamma Limited Partnership</value>
                    <footnoteId id="F3"/>
                    <footnoteId id="F5"/>
                    <footnoteId id="F6"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
        <nonDerivativeHolding>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>3102032</value>
                    <footnoteId id="F5"/>
                    <footnoteId id="F6"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeHolding>
        <nonDerivativeHolding>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>880895</value>
                    <footnoteId id="F5"/>
                    <footnoteId id="F6"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>By LeBow Alpha LLLP</value>
                    <footnoteId id="F4"/>
                    <footnoteId id="F5"/>
                    <footnoteId id="F6"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeHolding>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">The price reported in Column 4 is a weighted average price. These shares were sold in multiple transactions at prices ranging from $11.22 to $11.59, 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.  The sales reported in this Form 4 were effectuated pursuant to a Rule 10b5-1 trading plan adopted by the reporting person on February 12, 2020, as amended thereafter.</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 $11.10 to $11.37, 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. The sales reported in this Form 4 were effectuated pursuant to a Rule 10b5-1 trading plan adopted by the reporting person on February 12, 2020, as amended thereafter.</footnote>
        <footnote id="F3">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="F4">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="F5">On December 31, 2019, LeBow Epsilon 2001 Limited Partnership, a Delaware limited partnership, was dissolved and its assets, including 203,274 shares of the Issuer were distributed to its partners on a pro-rata basis (177,581 shares to LeBow Gamma Limited Partnership, 24,470 to Mr. LeBow and 1,223 shares to LeBow Alpha Limited Partnership). Prior to the dissolution, LeBow Epsilon 2001 LLC, a Delaware limited liability company, was 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, as such, acted as the manager of LeBow Epsilon 2001 LLC.</footnote>
        <footnote id="F6">(continued from footnote 5) Prior to the dissolution, Mr. LeBow disclaimed 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>2020-03-06</signatureDate>
    </ownerSignature>
</ownershipDocument>
