<SUBMISSION>
<ACCESSION-NUMBER>0001209191-08-046532
<TYPE>4
<PUBLIC-DOCUMENT-COUNT>1
<PERIOD>20080807
<FILING-DATE>20080811
<DATE-OF-FILING-DATE-CHANGE>20080811
<ISSUER>
<COMPANY-DATA>
<CONFORMED-NAME>Approach Resources Inc
<CIK>0001405073
<ASSIGNED-SIC>1311
<IRS-NUMBER>510424817
<STATE-OF-INCORPORATION>DE
<FISCAL-YEAR-END>1231
</COMPANY-DATA>
<BUSINESS-ADDRESS>
<STREET1>6300 RIDGLEA PLACE
<STREET2>SUITE 1107
<CITY>FORT WORTH
<STATE>TX
<ZIP>76116
<PHONE>8179899000
</BUSINESS-ADDRESS>
<MAIL-ADDRESS>
<STREET1>6300 RIDGLEA PLACE
<STREET2>SUITE 1107
<CITY>FORT WORTH
<STATE>TX
<ZIP>76116
</MAIL-ADDRESS>
</ISSUER>
<REPORTING-OWNER>
<OWNER-DATA>
<CONFORMED-NAME>YORKTOWN ENERGY PARTNERS V LP
<CIK>0001210407
<STATE-OF-INCORPORATION>DE
<FISCAL-YEAR-END>1231
</OWNER-DATA>
<FILING-VALUES>
<FORM-TYPE>4
<ACT>34
<FILE-NUMBER>001-33801
<FILM-NUMBER>081006645
</FILING-VALUES>
<BUSINESS-ADDRESS>
<STREET1>410 PARK AVENUE
<CITY>NEW YORK
<STATE>NY
<ZIP>10022-4407
<PHONE>2125152100
</BUSINESS-ADDRESS>
</REPORTING-OWNER>
<DOCUMENT>
<TYPE>4
<SEQUENCE>1
<FILENAME>bod59542_bod1yep.xml
<DESCRIPTION>MAIN DOCUMENT DESCRIPTION
<TEXT>
<XML>
<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0303</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2008-08-07</periodOfReport>

    <issuer>
        <issuerCik>0001405073</issuerCik>
        <issuerName>Approach Resources Inc</issuerName>
        <issuerTradingSymbol>AREX</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001210407</rptOwnerCik>
            <rptOwnerName>YORKTOWN ENERGY PARTNERS V LP</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>410 PARK AVENUE</rptOwnerStreet1>
            <rptOwnerStreet2>19TH FLOOR</rptOwnerStreet2>
            <rptOwnerCity>NEW YORK</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>10022</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock, par value $0.01 per share</value>
            </securityTitle>
            <transactionDate>
                <value>2008-08-07</value>
            </transactionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>J</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
                <footnoteId id="F1"/>
            </transactionCoding>
            <transactionAmounts>
                <transactionShares>
                    <value>940979</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>0</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>5782934</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <derivativeTable></derivativeTable>

    <footnotes>
        <footnote id="F1">Pro rata distribution to its general and limited partners.</footnote>
    </footnotes>

    <ownerSignature>
        <signatureName>/s/ Peter A. Leidel, Managing Member of Yorktown V Company, LLC, the reporting entity's general partner, on behalf of the reporting entity</signatureName>
        <signatureDate>2008-08-11</signatureDate>
    </ownerSignature>
</ownershipDocument>
</XML>
</TEXT>
</DOCUMENT>
</SUBMISSION>
