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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2015-12-15</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0001362988</issuerCik>
        <issuerName>Aircastle LTD</issuerName>
        <issuerTradingSymbol>AYR</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0000801645</rptOwnerCik>
            <rptOwnerName>MARUBENI CORP                                           /FI</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>4-2 OHTEMACHI 1-CHOME</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>CHIYODA-KU, TOKYO</rptOwnerCity>
            <rptOwnerState>M0</rptOwnerState>
            <rptOwnerZipCode>100-8088</rptOwnerZipCode>
            <rptOwnerStateDescription>JAPAN</rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001580950</rptOwnerCik>
            <rptOwnerName>Marubeni Aviation Corp</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>4-2 OHTEMACHI 1-CHOME, CHIYODA-KU,</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>TOKYO</rptOwnerCity>
            <rptOwnerState>M0</rptOwnerState>
            <rptOwnerZipCode>100-8088</rptOwnerZipCode>
            <rptOwnerStateDescription>JAPAN</rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001580953</rptOwnerCik>
            <rptOwnerName>Marubeni Aviation Holding Cooperatief U.A.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>HERIKERBERGWEG 238, 1101 CM</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>AMSTERDAM, ZUIDOOST</rptOwnerCity>
            <rptOwnerState>P7</rptOwnerState>
            <rptOwnerZipCode></rptOwnerZipCode>
            <rptOwnerStateDescription>NETHERLANDS</rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Shares</value>
            </securityTitle>
            <transactionDate>
                <value>2015-12-15</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>P</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>115900</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>20.0134</value>
                    <footnoteId id="F1"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>19661223</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>see footnote</value>
                    <footnoteId id="F2"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">The reported purchases were executed in multiple trades on the open market at a range of prices. The price reported above reflects the average purchase price. Upon request, full information regarding the number of shares and prices at which the transactions were affected can be provided.</footnote>
        <footnote id="F2">Shares owned directly by Marubeni Aviation Holding Cooperatief U.A.</footnote>
    </footnotes>

    <remarks>On August 2, 2013, Ryusuke Konto, Chairman of Marubeni Aerospace Corporation, and Gentaro Toya, Assistant Advisor to the President at Marubeni Corporation, joined the board of directors of Aircastle Limited (&quot;Aircastle&quot;). Common shares of Aircastle are directly held by Marubeni Aviation Holding Cooperatief, U.A. and indirectly held by Marubeni Corporation and Marubeni Aviation Corporation as described in the Form 3 filed by the Reporting Persons July 12, 2013. As a result of the Reporting Persons' relationship to Mr. Konto and Mr. Toya, the Reporting Persons each may be deemed to be a &quot;director by designation&quot; for purposes of Section 16 of the Securities Exchange Act of 1934.</remarks>

    <ownerSignature>
        <signatureName>/s/Akira Kotaki, General Manager, Aerospace &amp; Defense Systems Dept., Marubeni Corporation</signatureName>
        <signatureDate>2015-12-16</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>/s/Akira Kotaki, Managing Director, Marubeni Aviation Holding Cooperatief U.A.</signatureName>
        <signatureDate>2015-12-16</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>/s/Akira Kotaki, Director, Marubeni Aviation Corporation</signatureName>
        <signatureDate>2015-12-16</signatureDate>
    </ownerSignature>
</ownershipDocument>
