Bonsall allegedly told officers he had been drinking and didn't remember what happened.
Bonsall played Michael J. Fox's little brother Andy Keaton on the sitcom.
He is being held in the Boulder County Jail and was due in court Wednesday. Jail records didn't indicate his lawyer's name.
Authorities say Bonsall was sentenced to probation in 2007 for assaulting his girlfriend. He was later accused of probation violations.
The former child actor lives in Westminster, Colo., about 20 miles south of Boulder.