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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2018-01-16</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0001631569</issuerCik>
        <issuerName>Community Healthcare Trust Inc</issuerName>
        <issuerTradingSymbol>CHCT</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001638477</rptOwnerCik>
            <rptOwnerName>Stach Leigh Ann</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O COMMUNITY HEALTHCARE TRUST INCORPORA</rptOwnerStreet1>
            <rptOwnerStreet2>3326 ASPEN GROVE DRIVE, SUITE 150</rptOwnerStreet2>
            <rptOwnerCity>FRANKLIN</rptOwnerCity>
            <rptOwnerState>TN</rptOwnerState>
            <rptOwnerZipCode>37067</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>1</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>VP-Financial Reporting &amp; CAO</officerTitle>
            <otherText></otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2018-01-16</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionAmounts>
                <transactionShares>
                    <value>16341</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>26.99</value>
                    <footnoteId id="F1"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>89513</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <derivativeTable></derivativeTable>

    <footnotes>
        <footnote id="F1">For 2018, the reporting person agreed to take 100% of her salary in the form of shares of restricted stock with an eight-year restriction period. Because the reporting person elected to take her base salary for 2018 in these shares of restricted stock, the Company awarded Ms. Stach additional compensation, in restricted stock, equal to her annual salary. The price of the securities acquired by the reporting person is based on the average price of the Company's common stock for the 10 trading days immediately preceding January 16, 2018, which was $26.99. The number of securities issued is equal to the total salary, including the additional compensation, divided by such price.</footnote>
    </footnotes>

    <ownerSignature>
        <signatureName>/s/ Christopher M. Douse, Attorney-in-Fact</signatureName>
        <signatureDate>2018-01-17</signatureDate>
    </ownerSignature>
</ownershipDocument>
