The Belgian actor spent five hours in a cell at West Hollywood police station before being released. After his release, Van Damme got into a car and was driven away without making any comment.
Police say their investigation is ongoing.
The Return, shot to fame as an action film star in the mid-1980s. His movie credits include Bloodsport, Kickboxer, Double Impact, Hard Target and Sudden Death, Street Fighter and Cyborg. Hollywood veteran Jack Nicholson is another star in trouble over his driving. Two people have filed a personal injury claim against him seeking damages for a head-on collision with his Mercedes on 8 July. The BBC is not responsible for the content of external internet sites.