The "30 Rock" sitcom actor, 60, "assaulted someone for a parking spot that they were both going for," New York police department detective Sophia Mason said. It was not immediately clear if the actor would be charged.
Representatives for Baldwin did not immediately respond to a request for comment.
Baldwin has enjoyed a new wave of popularity in the last two years for his impressions of Trump on TV sketch series "Saturday Night Live," winning an Emmy.
Baldwin has a history of losing his temper. He denied punching a newspaper photographer in 2012 who was trying to take photos of him with his then-fiancee, yoga teacher Hilaria Thomas.
Baldwin and Thomas married in 2012 and have four children.
(With inputs from agencies.)