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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2012-08-13</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0001532619</issuerCik>
        <issuerName>Power REIT</issuerName>
        <issuerTradingSymbol>PW</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001479527</rptOwnerCik>
            <rptOwnerName>Lesser David H</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>206 EAST 63RD STREET - FIFTH FLOOR</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>NEW YORK</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>10021</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>1</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>Chairman and CEO</officerTitle>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2012-08-13</value>
            </transactionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>20000</value>
                    <footnoteId id="F1"/>
                </transactionShares>
                <transactionPricePerShare>
                    <value>0.01</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>268500</value>
                    <footnoteId id="F2"/>
                    <footnoteId id="F4"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2012-08-13</value>
            </transactionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>100000</value>
                    <footnoteId id="F3"/>
                </transactionShares>
                <transactionPricePerShare>
                    <value>7.96</value>
                    <footnoteId id="F3"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>268500</value>
                    <footnoteId id="F2"/>
                    <footnoteId id="F4"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">20,000 restricted shares of common stock were awarded on August 13, 2012, pursuant to the Trust's 2012 Equity Incentive Plan; the award vests in three-equal annual installments beginning with the first anniversary of the grant.</footnote>
        <footnote id="F2">A non qualified stock option to acquire 100,000 common shares (&quot;Option&quot;) and 20,000 restricted shares of common stock (&quot;Restricted Stock&quot;) were awarded on August 13, 2012, pursuant to the Trust's 2012 Equity Incentive Plan. The Option and Restricted Stock awards vest in three-equal annual installments beginning with the first anniversary of the respective grants.  The Options have a 10-year term and a strike price equal to the closing price of the stock on August 13, 2012.</footnote>
        <footnote id="F3">A non-qualified option to acquire 100,000 shares of common stock were awarded on August 13, 2012, pursuant to the Trust's 2012 Equity Incentive Plan; the award vests in three-equal annual installments beginning with the first anniversary of the grant, have a ten-year term and a strike price equal to the closing price of the stock on August 13, 2012.</footnote>
        <footnote id="F4">After giving effect to the 8/13/2012 grants to David H. Lesser, Mr. Lesser has beneficial ownership of 268,500 shares: 131,530 directly (including the grants), 85,210 through Hudson Bay Partners LLC, a wholly owned affiliate, and 51,760 through HBP PW LLC, an affiliate managed by David H. Lesser.  99.8% of the share capital of HBP PW LLC has been provided by a third-party investor.</footnote>
    </footnotes>

    <ownerSignature>
        <signatureName>David H. Lesser</signatureName>
        <signatureDate>2012-08-15</signatureDate>
    </ownerSignature>
</ownershipDocument>
