There is "substantial presence" of New York Police Department at the JFK and LaGuardia airports and the investigation "continues", said the Port Authority, which manages the city's airports.
In an initial update, the Port Authority said police had received reports of shots fired at Terminal 8 at JFK at about 9:30 pm yesterday, apparently near the departure area.
It added that Terminal 1 at JFK was "closed" at about 10:15 pm after "additional" calls of shots fired were received.
However, there were no indication in the preliminary investigation that shots were fired.
"Preliminary investigation does not indicate shots were fired at JFK. There are no injuries. At this time no gun shells or other evidence of shots fired has been found," the statement added.
It also said that travellers should contact their carriers.