The incident took place in Manhattan's Greenwich Village neighborhood, on East 10th Street near University Place.
Alec Baldwin was arrested in NY on Friday for alleged assault. The men were arguing and pushing each other before Baldwin turned violent, officials added. "We're told Baldwin became irate, an argument ensued, and Baldwin punched the man in the jaw", the site wrote.
Sources told the Daily Beast that "Baldwin had someone holding a parking spot for him and while he was moving his auto to the spot, someone else took the space".
Baldwin was arrested in 1995 for allegedly slugging a paparazzi photographer in Los Angeles, one of several such run-ins. The man supposedly pulled in to a parking spot Baldwin had been waiting for, according to a local NBC affiliate. Last year, the actor bought another apartment on the building's 12th floor, shelling out 1.3 million dollars.
Asked about Baldwin's arrest, President Trump said with a gloating smile, "I wish him luck".
Baldwin and Thomas married in 2012 and have four children.
In 2014, Baldwin was arrested and charged with disorderly conduct after cops caught him riding his bike the wrong way down a one-way street.
Actor Alec Baldwin was arrested on Friday, following a report of an assault in New York City.
This isn't Baldwin's first brush with the law.