Filed Pursuant to Rule 424(b)(3)
Registration No. 333-133692

PROSPECTUS SUPPLEMENT NO. 4 DATED JULY ­­26, 2006

AAR CORP.
$150,000,000
1.75% Convertible Senior Notes due 2026

This prospectus supplement No. 4 supplements the prospectus dated May 1, 2006, as supplemented by prospectus supplement No. 1 thereto dated May 26, 2006, prospectus supplement No. 2 thereto dated June 14, 2006, and prospectus supplement No. 3 thereto dated July 12, 2006, of AAR CORP. relating to the sale by certain of its securityholders (including their transferees, pledgees, donees, assignees or other successors) of AAR’s 1.75% Convertible Senior Notes due 2026.

You should read this prospectus supplement No. 4 in conjunction with the prospectus, prospectus supplement No. 1, prospectus supplement No. 2 and prospectus supplement No. 3.  This prospectus supplement No. 4 is qualified by reference to the prospectus, prospectus supplement No. 1, prospectus supplement No. 2 and prospectus supplement No. 3, except to the extent that the information in this prospectus supplement No. 4 supersedes the information contained in the prospectus, prospectus supplement No. 1, prospectus supplement No. 2 and prospectus supplement No. 3.  Capitalized terms used in this prospectus supplement have the meanings specified in the prospectus.

1.             The following line item in the table of Selling Securityholders beginning on page 54 of the prospectus is hereby amended as follows:

Selling Securityholder

 

Original Principal
Amount of Notes
Beneficially Owned
and Offered Hereby

 

Percentage of
Notes Outstanding

 

Number of Shares of
Common Stock
Owned and
Offered Hereby

 

Percentage of
Common Stock
Outstanding

 

Citigroup Global Markets Inc.

 

$

15,850,000

 

10.6

%

538,566

 

1.5

%

 

 

 

 

 

 

 

 

 

 

 

See “Risk Factors” beginning on page 5 of the prospectus to read about important factors you should consider before buying the notes.

Neither the Securities and Exchange Commission nor any state securities commission has approved or disapproved of these securities or determined if this prospectus is truthful or complete.  Any representation to the contrary is a criminal offense.