Matt Damon wears Oakley M Frame Strike sunglasses in the movie Green Zone.

The M Frame sunglasses by Oakley are very popular with military, and sports legends and can be seen in many films featuring special forces, like S.W.A.T. and The Hurt Locker. Cyclist Lance Armstrong also has been spotted with these glasses.

The Oakley M Frame is available with many different lenses: the Heather, Sweep, Strike, Hybrid and Hybrid S, all have a unique shape and each come in several different lens colors. In this movie, we can see the Strike lens, although which color is hard to tell.

Reference: Oakley M Frame Strike with black frame