Baldwin and the photographer began shoving following an exchange of words at around 12:25 p.m. this afternoon, near the intersection of East 10th Street and University Place according to authorities.
Baldwin was with his wife Hilaria, who just gave birth to their first child last week. Baldwin allegedly felt the photographer got too close to him.
As she walked into a nearby tea store to avoid the escalating dispute, Baldwin and the photographer got into what police described as a "slight shoving match."
Photographs taken by another person showed Baldwin using both hands to hold the photographer against the top of a parked car.
Neither was injured in the scuffle.
Police responded, and both sides ultimately decided not to file charges against each other. No police reports were filed.
Baldwin used Twitter last week to "announce the birth of our daughter Carmen Gabriela."