He was ordered to appear in court November 26.
The 49-year-old victim was reportedly taken to the hospital after being punched in the jaw. The actor is now in custody at the 6th Precinct in Manhattan.
Representatives for Baldwin did not immediately respond to a request for comment.
Baldwin, 60, has had problems with the law in the past.
Baldwin now resides in NY, and according to reports, an unidentified third party was holding a spot for the actor when another driver swooped in and stole it, that was when he attacked them.
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In the 1990s, Baldwin was acquitted of battery in a case involving a photographer.
In 2011, the former "30 Rock" star was removed from a flight after refusing to stop playing the game "Words With Friends" on his phone.
Asked about the actor's arrest, Mr Trump said: "I wish him luck".
"I just can't live in NY anymore", Baldwin said in the article.