<SUBMISSION>
<ACCESSION-NUMBER>0001209191-08-033890
<TYPE>4
<PUBLIC-DOCUMENT-COUNT>1
<PERIOD>20080527
<FILING-DATE>20080529
<DATE-OF-FILING-DATE-CHANGE>20080529
<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 V CO LLC
<CIK>0001302152
<STATE-OF-INCORPORATION>DE
<FISCAL-YEAR-END>1231
</OWNER-DATA>
<FILING-VALUES>
<FORM-TYPE>4
<ACT>34
<FILE-NUMBER>001-33801
<FILM-NUMBER>08868146
</FILING-VALUES>
<BUSINESS-ADDRESS>
<STREET1>410 PARK AVENUE
<STREET2>19TH FLOOR
<CITY>NEW YORK
<STATE>NY
<ZIP>10022
<PHONE>212-515-1221
</BUSINESS-ADDRESS>
<MAIL-ADDRESS>
<STREET1>410 PARK AVENUE
<STREET2>19TH FLOOR
<CITY>NEW YORK
<STATE>NY
<ZIP>10022
</MAIL-ADDRESS>
</REPORTING-OWNER>
<DOCUMENT>
<TYPE>4
<SEQUENCE>1
<FILENAME>bod57302_bod1yc.xml
<DESCRIPTION>MAIN DOCUMENT DESCRIPTION
<TEXT>
<XML>
<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0202</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2008-05-27</periodOfReport>

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

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001302152</rptOwnerCik>
            <rptOwnerName>Yorktown V CO LLC</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>2008-05-27</value>
            </transactionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>J</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
                <footnoteId id="F1"/>
            </transactionCoding>
            <transactionAmounts>
                <transactionShares>
                    <value>940979</value>
                    <footnoteId id="F2"/>
                </transactionShares>
                <transactionPricePerShare>
                    <value>0</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>6723913</value>
                    <footnoteId id="F2"/>
                    <footnoteId id="F3"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>By Yorktown Energy Partners V, L.P.</value>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <derivativeTable></derivativeTable>

    <footnotes>
        <footnote id="F1">Pro rata distribution from Yorktown Energy Partners V, L.P., of which the reporting entity is the general partner.</footnote>
        <footnote id="F2">The reporting entity disclaims beneficial ownership of these securities except to the extent of its pecuniary interest therein, and this report shall not be deemed an admission that the reporting person is the beneficial owner of the securities for Section 16 or any other purpose.</footnote>
        <footnote id="F3">Includes 13,906 shares received by the reporting entity which the reporting entity owns directly. Simultaneous with the reported pro rata distribution from Yorktown Energy Partners V, L.P., the reporting entity distributed these directly owned shares to its members.</footnote>
    </footnotes>

    <ownerSignature>
        <signatureName>/s/ Robert A. Signorino</signatureName>
        <signatureDate>2008-05-29</signatureDate>
    </ownerSignature>
</ownershipDocument>
</XML>
</TEXT>
</DOCUMENT>
</SUBMISSION>
