Cameras were rolling as the 36-year-old rapper arrived at the Bradley Terminal Friday afternoon.
The scuffle occurred after a paparazzo reportedly questioned West. Video shows the star moving in, grabbing the man, and appearing to punch him. West is then seen attempting to grab the man's camera before pulling him to the ground and leaving the terminal moments later.
The unidentified man flagged down airport police and reported the incident. He was treated at the scene by paramedics.
The Los Angeles District Attorney's Office says it hasn't received any police paperwork on the incident yet. LAX Police Sgt. Steve Savala said that numerous witnesses had been interviewed about the incident to compile a report.
West has had similar run-ins with paparazzi at LAX before. In 2008, the rap star and his manager Don Crowley were arrested and booked on suspicion of felony vandalism after apparently helping smash a paparazzo's camera on the floor.