"At this time, no gun shells or other evidence of shots fired has been found. The terminal was evacuated out of an abundance of caution."
The Port Authority added that a substantial police presence of PAPD and NYPD officers remains at JFK as well as LaGuardia Airport.
They added that an investigation is ongoing and that travelers should contact their carriers for further information.
Port Authority police received a call about shots being fired from the American Airlines' Terminal 8 departures area, ABC7 reports.
In a statement, the airline said that there were no known injuries to their employees or passengers.
The panic began after a woman told police she saw a man with a gun at the terminal, the New York Post reports.
The passenger told police about the man shortly after 9.30pm, prompting police to evacuate the terminal as they hunted the alleged gunman.
An NYPD Emergency Services Unit officer armed with automatic rifles scoured the area and passengers, according to the Post.
Dan Archer, who was in the terminal at the time, reported 'panic' as gates were closed at security due to a "possible shooter".
"Still not confirmed shooter police armed and patrolling we're still in security by screening with gates locked down," he said on Twitter.
He added later: "We're all safe, collecting belongings, been told the situation has been cleared at #jfk"
"Police won't say anything except "it's not safe to stay here" as we leave terminal 8."
Robbie Rob added: "Everyone is being kicked out of the terminal. Police on alert!"
Some passengers on social media reported flights due to land at JFK were being diverted without crew informing them why.
"About to land at JFK, but pilot suddenly announces flight diverted to Buffalo! JFK apparently 'shut-down'. No idea why," wrote Umang Dua on Twitter.