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

    <schemaVersion>X0206</schemaVersion>

    <documentType>3</documentType>

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

    <noSecuritiesOwned>0</noSecuritiesOwned>

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

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001834436</rptOwnerCik>
            <rptOwnerName>Sullivan James David</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>
            <isOfficer>1</isOfficer>
            <officerTitle>See Remarks</officerTitle>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeHolding>
            <securityTitle>
                <value>Common Shares, par value $0.0001</value>
            </securityTitle>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>4125</value>
                    <footnoteId id="F1"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeHolding>
    </nonDerivativeTable>

    <derivativeTable>
        <derivativeHolding>
            <securityTitle>
                <value>Stock Option (Right to Purchase)</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>15.6800</value>
            </conversionOrExercisePrice>
            <exerciseDate>
                <value>2018-03-23</value>
                <footnoteId id="F2"/>
            </exerciseDate>
            <expirationDate>
                <value>2025-03-24</value>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Shares, par value $0.0001</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>3125</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeHolding>
        <derivativeHolding>
            <securityTitle>
                <value>Stock Option (Right to Purchase)</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>9.4400</value>
            </conversionOrExercisePrice>
            <exerciseDate>
                <value>2019-03-21</value>
                <footnoteId id="F3"/>
            </exerciseDate>
            <expirationDate>
                <value>2026-03-21</value>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Shares, par value $0.0001</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>3125</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeHolding>
        <derivativeHolding>
            <securityTitle>
                <value>Stock Option (Right to Purchase)</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>39.3600</value>
            </conversionOrExercisePrice>
            <exerciseDate>
                <value>2014-03-14</value>
                <footnoteId id="F4"/>
            </exerciseDate>
            <expirationDate>
                <value>2021-03-13</value>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Shares, par value $0.0001</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>1563</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeHolding>
        <derivativeHolding>
            <securityTitle>
                <value>Stock Option (Right to Purchase)</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>17.2720</value>
            </conversionOrExercisePrice>
            <exerciseDate>
                <value>2015-08-13</value>
                <footnoteId id="F4"/>
            </exerciseDate>
            <expirationDate>
                <value>2022-08-13</value>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Shares, par value $0.0001</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>2084</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeHolding>
        <derivativeHolding>
            <securityTitle>
                <value>Stock Option (Right to Purchase)</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>21.2000</value>
            </conversionOrExercisePrice>
            <exerciseDate>
                <value>2017-03-16</value>
                <footnoteId id="F4"/>
            </exerciseDate>
            <expirationDate>
                <value>2024-03-16</value>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Shares, par value $0.0001</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>12500</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeHolding>
    </derivativeTable>

    <footnotes>
        <footnote id="F1">4,125 restricted shares of common stock were issued under the Issuer's Amended &amp;amp; Restated 2015 Equity Incentive Plan and are subject to forfeiture if the Reporting Person does not remain in continuous employment or service with the Issuer for a period of three (3) years from August 25, 2020. The foregoing restrictions lapse in equal annual installments over such three (3) year period. Does not include 10,000 shares of common stock purchased on the open market after the Date of Event Requiring Statement.</footnote>
        <footnote id="F2">Represents shares issuable upon exercise of options granted to the Reporting Person on March 23, 2018 under the Issuer's 2015 Equity Incentive Plan. The options, 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. As of the date of this Report, 2,083 options are currently exercisable.</footnote>
        <footnote id="F3">Represents shares issuable upon exercise of options granted to the Reporting Person on March 21, 2019 under the Issuer's 2015 Equity Incentive Plan. The options, 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. As of the date of this Report, 1,042 options are currently exercisable.</footnote>
        <footnote id="F4">All options are currently exercisable.</footnote>
    </footnotes>

    <remarks>Senior Vice President and Chief Legal Officer</remarks>

    <ownerSignature>
        <signatureName>/s/ James D. Sullivan</signatureName>
        <signatureDate>2020-12-01</signatureDate>
    </ownerSignature>
</ownershipDocument>
