The No Country For Old Men star had just arrived at La Guardia airport in the city on Tuesday night when he took offense to one videographer, who had been questioning him about his flight.
In video footage of the incident, posted on TMZ.com, the actor can be seen approaching the cameraman outside the airport and lashing out at him.
The video footage then goes black as the unnamed videographer repeatedly shouts, "That's assault Woody."
Harrelson then allegedly picked up the broken camera and started to walk away with, trying to remove the tape.
When the videographer objects, Harrelson can be heard saying, "What are you gonna do about it?"
The footage on TMZ.com also features the actor appearing to grab the paparazzo by the scruff of the neck and punch him repeatedly.
The brawl was reported to police and Port Authority officials are now looking into the incident.
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