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Proc-Type: 2001,MIC-CLEAR
Originator-Name: webmaster@www.sec.gov
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<SEC-DOCUMENT>0000001750-05-000018.txt : 20050322
<SEC-HEADER>0000001750-05-000018.hdr.sgml : 20050322
<ACCEPTANCE-DATETIME>20050322163109
ACCESSION NUMBER:		0000001750-05-000018
CONFORMED SUBMISSION TYPE:	4
PUBLIC DOCUMENT COUNT:		1
CONFORMED PERIOD OF REPORT:	20050318
FILED AS OF DATE:		20050322
DATE AS OF CHANGE:		20050322

ISSUER:		

	COMPANY DATA:	
		COMPANY CONFORMED NAME:			AAR CORP
		CENTRAL INDEX KEY:			0000001750
		STANDARD INDUSTRIAL CLASSIFICATION:	AIRCRAFT & PARTS [3720]
		IRS NUMBER:				362334820
		STATE OF INCORPORATION:			DE
		FISCAL YEAR END:			0531

	BUSINESS ADDRESS:	
		STREET 1:		1100 N WOOD DALE RD
		CITY:			WOOD DALE
		STATE:			IL
		ZIP:			60191
		BUSINESS PHONE:		6302272000

	MAIL ADDRESS:	
		STREET 1:		1100 N WOOD DALE RD
		CITY:			WOOD DALE
		STATE:			IL
		ZIP:			60191

	FORMER COMPANY:	
		FORMER CONFORMED NAME:	ALLEN AIRCRAFT RADIO INC
		DATE OF NAME CHANGE:	19700204

REPORTING-OWNER:	

	OWNER DATA:	
		COMPANY CONFORMED NAME:			STORCH DAVID P
		CENTRAL INDEX KEY:			0001027741
		STATE OF INCORPORATION:			DE
		FISCAL YEAR END:			0531

	FILING VALUES:
		FORM TYPE:		4
		SEC ACT:		1934 Act
		SEC FILE NUMBER:	001-06263
		FILM NUMBER:		05697057

	BUSINESS ADDRESS:	
		STREET 1:		C/O AAR CORP
		STREET 2:		1111 NICHOLAS BLVD
		CITY:			ELK GROVE VILLAGE
		STATE:			IL
		ZIP:			60007
		BUSINESS PHONE:		8474393939

	MAIL ADDRESS:	
		STREET 1:		C/O AAR CORP
		STREET 2:		1111 NICHOLAS BLVD
		CITY:			1111 NICHOLAS BLVD
		STATE:			IL
		ZIP:			60007
</SEC-HEADER>
<DOCUMENT>
<TYPE>4
<SEQUENCE>1
<FILENAME>c0001027741d20050322f4f.xml
<DESCRIPTION>PRIMARY DOCUMENT
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<ownershipDocument>

    <schemaVersion>X0202</schemaVersion>

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    <periodOfReport>2005-03-18</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

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        <issuerName>AAR CORP</issuerName>
        <issuerTradingSymbol>AIR</issuerTradingSymbol>
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        <reportingOwnerId>
            <rptOwnerCik>0001027741</rptOwnerCik>
            <rptOwnerName>STORCH DAVID P</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>1100 N. WOOD DALE ROAD</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>WOOD DALE</rptOwnerCity>
            <rptOwnerState>IL</rptOwnerState>
            <rptOwnerZipCode>60191-</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
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        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>1</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>President, CEO &amp; Director</officerTitle>
            <otherText></otherText>
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                <transactionPricePerShare>
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        </derivativeTransaction>
        <derivativeTransaction>
            <securityTitle>
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            <conversionOrExercisePrice>
                <value>14.96</value>
            </conversionOrExercisePrice>
            <transactionDate>
                <value>2005-03-18</value>
                <footnoteId id="F2"/>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
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                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionAmounts>
                <transactionShares>
                    <value>178556</value>
                </transactionShares>
                <transactionPricePerShare>
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            <expirationDate>
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            <underlyingSecurity>
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            </underlyingSecurity>
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                    <value>D</value>
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        <derivativeTransaction>
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            <transactionDate>
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            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
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                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
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            <transactionAmounts>
                <transactionShares>
                    <value>25724</value>
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                <transactionPricePerShare>
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            <exerciseDate>
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            <expirationDate>
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            <underlyingSecurity>
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                <underlyingSecurityShares>
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            <transactionAmounts>
                <transactionShares>
                    <value>33161</value>
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                <transactionPricePerShare>
                    <value>0</value>
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                    <value>A</value>
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            <exerciseDate>
                <value>2005-03-18</value>
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            <expirationDate>
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            <underlyingSecurity>
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                <sharesOwnedFollowingTransaction>
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        <derivativeTransaction>
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                <value>26</value>
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            <transactionDate>
                <value>2005-03-18</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>M</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionAmounts>
                <transactionShares>
                    <value>90000</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>11.6667</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
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            <exerciseDate>
                <value>1996-10-11</value>
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            <expirationDate>
                <value>2005-10-11</value>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>90000</value>
                </underlyingSecurityShares>
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                <sharesOwnedFollowingTransaction>
                    <value>0</value>
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            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
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        </derivativeTransaction>
        <derivativeTransaction>
            <securityTitle>
                <value>Stock Option</value>
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            <conversionOrExercisePrice>
                <value>30</value>
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            <transactionDate>
                <value>2005-03-18</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
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                <transactionCode>M</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
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            <transactionAmounts>
                <transactionShares>
                    <value>300000</value>
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                <transactionPricePerShare>
                    <value>13.3334</value>
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                <transactionAcquiredDisposedCode>
                    <value>D</value>
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            <exerciseDate>
                <value>1996-07-09</value>
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            <expirationDate>
                <value>2006-07-09</value>
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            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>300000</value>
                </underlyingSecurityShares>
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                <sharesOwnedFollowingTransaction>
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            <ownershipNature>
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                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeTransaction>
    </derivativeTable>

    <footnotes>
        <footnote id="F1">I disclaim any beneficial interest in these shares.</footnote>
        <footnote id="F2">Reload option resulting from withholding of stock in payment of exercise price.</footnote>
    </footnotes>

    <ownerSignature>
        <signatureName>Jo-Ellen Kiddie, Power of Attorney</signatureName>
        <signatureDate>2005-03-22</signatureDate>
    </ownerSignature>
</ownershipDocument>
</XML>
</TEXT>
</DOCUMENT>
</SEC-DOCUMENT>
-----END PRIVACY-ENHANCED MESSAGE-----