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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2020-08-25</periodOfReport>

    <issuer>
        <issuerCik>0001019034</issuerCik>
        <issuerName>BIO KEY INTERNATIONAL INC</issuerName>
        <issuerTradingSymbol>BKYI</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001599643</rptOwnerCik>
            <rptOwnerName>Gilley Thomas</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O BIO-KEY INTERNATIONAL, INC.</rptOwnerStreet1>
            <rptOwnerStreet2>3349 HIGHWAY 138, BUILDING A, SUITE E</rptOwnerStreet2>
            <rptOwnerCity>WALL</rptOwnerCity>
            <rptOwnerState>NJ</rptOwnerState>
            <rptOwnerZipCode>07719</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
        </reportingOwnerRelationship>
    </reportingOwner>

    <derivativeTable>
        <derivativeTransaction>
            <securityTitle>
                <value>Stock Option (Right to Buy)</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>0.65</value>
            </conversionOrExercisePrice>
            <transactionDate>
                <value>2020-08-25</value>
            </transactionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionAmounts>
                <transactionShares>
                    <value>2500</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>0</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <exerciseDate>
                <footnoteId id="F1"/>
            </exerciseDate>
            <expirationDate>
                <value>2027-08-24</value>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>2500</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>2500</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeTransaction>
    </derivativeTable>

    <footnotes>
        <footnote id="F1">Represents shares issuable upon exercise of options granted to the Reporting Person on August 25, 2020 under the Issuer's Amended and restated 2015 Equity Incentive Plan.  The options are exercisable at $0.65 per share, the last sale price of the Issuer's common stock as reported on the Nasdaq on the date of grant, have a term of seven years, and vest in three equal annual installments on each of the next three anniversaries of the grant date, subject to the Reporting Person's continued employment with or service to the Issuer through the applicable vesting date.</footnote>
    </footnotes>

    <ownerSignature>
        <signatureName>/s/ Thomas Gilley</signatureName>
        <signatureDate>2020-08-27</signatureDate>
    </ownerSignature>
</ownershipDocument>
