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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2018-07-26</periodOfReport>

    <notSubjectToSection16>1</notSubjectToSection16>

    <issuer>
        <issuerCik>0001099160</issuerCik>
        <issuerName>BEASLEY BROADCAST GROUP INC</issuerName>
        <issuerTradingSymbol>BBGI</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001689080</rptOwnerCik>
            <rptOwnerName>Peter A. Bordes Marital Trust</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O CARTER LEDYARD &amp; MILBURN LLP</rptOwnerStreet1>
            <rptOwnerStreet2>TWO WALL STREET</rptOwnerStreet2>
            <rptOwnerCity>NEW YORK</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>10005</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>1</isOther>
            <otherText>See Remarks</otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Class A Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2018-07-26</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>S</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>171361</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>7.05</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>0</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <footnotes></footnotes>

    <remarks>As a result of certain agreements among the Reporting Persons and certain other shareholders of the Issuer, the Reporting Persons may be deemed members of a &quot;group&quot;, within the meaning of Rule 13d-5(b)(1) under the Securities Exchange Act of 1934, as amended (the &quot;Act&quot;), with such other shareholders, that beneficially owns more than 10% of the Class A Common Stock of the Issuer. These agreements are described in, and filed as exhibits to, the Reporting Persons' report on Schedule 13D filed with the Securities Exchange Commission on November 14, 2016, as amended. This filing is being made as a precautionary matter and shall not be deemed an admission that any of the Reporting Persons is a member of a group or subject to the reporting requirements of Section 16 of the Act.</remarks>

    <ownerSignature>
        <signatureName>PETER A. BORDES MARITAL TRUST By: /s/ Stephen F. Lappert, Attorney-in-Fact on behalf of Cristina Bordes, Peter A. Bordes, Jr., Stephanie L. Bordes, Stephen M. Bordes, as Trustees</signatureName>
        <signatureDate>2018-07-30</signatureDate>
    </ownerSignature>
</ownershipDocument>
