Police allegedly spotted Faustino, 33, and his wife Andrea, 31, at an intersection late Friday night. Faustino reportedly tried to climb out the car window, then opened the door.
The actor allegedly tried to walk away when police confronted the couple. The officer smelled alcohol on Faustino's breath and found a plastic bag with a gram of marijuana in his pocket, police said.
Faustino was booked into Volusia County jail and released Saturday. Court records did not list an attorney for Faustino.
A telephone message left after hours by The Associated Press with the actor's public relations firm was not immediately returned.
Faustino filed for divorce in February from his wife in Los Angeles County Superior Court, citing irreconcilable differences.
"Married With Children" ran on the Fox network from 1987 to 1997.