Cassidy was pulled over Friday night near Los Angeles International Airport.
Police say he was making an illegal right turn against a red light.
Authorities say when the 63-year-old was taken into custody, the officer smelled alcohol in the rental car.
Cassidy spent the night in jail and was released Saturday morning on $15,000 bail. He's scheduled to appear in court Feb. 5.
This isn't the first drunk driving run-in for Cassidy. He was arrested last August for driving under the influence in upstate New York. He also has a 2001 conviction for driving under the influence in Florida, his current state of residence.