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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2016-07-05</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0000894081</issuerCik>
        <issuerName>Air Transport Services Group, Inc.</issuerName>
        <issuerTradingSymbol>ATSG</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001374566</rptOwnerCik>
            <rptOwnerName>MESDAG WILLEM</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O RED MOUNTAIN CAPITAL PARTNERS LLC</rptOwnerStreet1>
            <rptOwnerStreet2>10100 SANTA MONICA BOULEVARD, SUITE 925</rptOwnerStreet2>
            <rptOwnerCity>LOS ANGELES</rptOwnerCity>
            <rptOwnerState>CA</rptOwnerState>
            <rptOwnerZipCode>90067</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>1</isOther>
            <otherText>Please refer to Remarks below</otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001374603</rptOwnerCik>
            <rptOwnerName>RED MOUNTAIN PARTNERS, L.P.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>10100 SANTA MONICA BOULEVARD</rptOwnerStreet1>
            <rptOwnerStreet2>SUITE 925</rptOwnerStreet2>
            <rptOwnerCity>LOS ANGELES</rptOwnerCity>
            <rptOwnerState>CA</rptOwnerState>
            <rptOwnerZipCode>90067</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001374588</rptOwnerCik>
            <rptOwnerName>RED MOUNTAIN CAPITAL PARTNERS LLC</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>10100 SANTA MONICA BOULEVARD</rptOwnerStreet1>
            <rptOwnerStreet2>SUITE 925</rptOwnerStreet2>
            <rptOwnerCity>LOS ANGELES</rptOwnerCity>
            <rptOwnerState>CA</rptOwnerState>
            <rptOwnerZipCode>90067</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>1</isOther>
            <otherText>Please refer to Remarks below</otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001374606</rptOwnerCik>
            <rptOwnerName>RMCP GP LLC</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>10100 SANTA MONICA BOULEVARD</rptOwnerStreet1>
            <rptOwnerStreet2>SUITE 925</rptOwnerStreet2>
            <rptOwnerCity>LOS ANGELES</rptOwnerCity>
            <rptOwnerState>CA</rptOwnerState>
            <rptOwnerZipCode>90067</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>1</isOther>
            <otherText>Please refer to Remarks below</otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001374607</rptOwnerCik>
            <rptOwnerName>RED MOUNTAIN CAPITAL MANAGEMENT INC</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>10100 SANTA MONICA BOULEVARD</rptOwnerStreet1>
            <rptOwnerStreet2>SUITE 925</rptOwnerStreet2>
            <rptOwnerCity>LOS ANGELES</rptOwnerCity>
            <rptOwnerState>CA</rptOwnerState>
            <rptOwnerZipCode>90067</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>1</isOther>
            <otherText>Please refer to Remarks below</otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2016-07-05</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>S</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>3825554</value>
                </transactionShares>
                <transactionPricePerShare>
                    <footnoteId id="F1"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>7326871</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>See footnote 1 and Remarks below</value>
                    <footnoteId id="F2"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">On July 5, 2016, pursuant to a privately negotiated transaction, Red Mountain Partners, L.P. (&quot;RMP&quot;) consummated a sale to Air Transport Services Group, Inc. (&quot;ATSG&quot;) of 3,825,554 shares of common stock of ATSG for an aggregate purchase price of $50,000,000.</footnote>
        <footnote id="F2">These shares are held by RMP.</footnote>
    </footnotes>

    <remarks>This Form 4 is jointly filed by (i) RMP, (ii) RMCP GP LLC (&quot;RMCP GP&quot;), (iii) RMCP LLC, (iv) Red Mountain Capital Management, Inc. (&quot;RMCM&quot;), and (v) Mr. Mesdag. RMCP GP is the general partner of RMP. RMCP LLC is the managing member of RMCP GP. RMCM is the managing member of RMCP LLC. Mr. Mesdag is the president, sole executive officer, sole director and sole shareholder of RMCM. A prior Form 4 erroneously reported Restricted Stock Units received by Mr. Christopher Teets for his service on the board of directors of ATSG as beneficially owned by RMCP LLC. Each of Mr. Mesdag, RMCM, RMCP LLC, and RMCP GP, by virtue of their direct or indirect control of RMP may be deemed to beneficially own some or all of the securities reported as being held by RMP. Each of the reporting persons hereunder disclaims beneficial ownership of the reported securities except to the extent of its or his pecuniary interest therein. This Form 4 shall not be deemed to be an admission that any reporting person hereunder is the beneficial owner of any of the reported securities for purposes of Section 16 of the Securities Exchange Act of 1934, as amended, or for any other purpose.</remarks>

    <ownerSignature>
        <signatureName>/s/ Willem Mesdag, on behalf of himself and each of the other reporting owners</signatureName>
        <signatureDate>2016-07-15</signatureDate>
    </ownerSignature>
</ownershipDocument>
