The I Am Sam actor faced battery charges after an altercation with a paparazzi in LA, and was sentenced to the classes as well as three years probation in 2010.
TMZ reports that Penn's attorney has appeared in a Los Angeles court, where he revealed that his client has finished the mandatory courses.
Penn will remain on probation as part of his plea deal until May 2013.
He is currently in talks to star in Ben Stiller's upcoming adaptation of The Secret Life of Walter Mitty.
The 51-year-old will next be seen opposite Ryan Gosling and Emma Stone in the upcoming crime drama Gangster Squad.
Watch a trailer for Gangster Squad below: