Here is the link for the Port Authority of NY and NJ. (PONYA) They run Kennedy and Newark Int'l Airports and LaGuardia as well as marine ports, rails, etc in the NYC Metro area. Notice that their restrictions are only for terminals they run like the International Arrivals Building at Kennedy. Individual terminals owned and operated by airlines such as Delta, British Airways, Jet Blue, etc. have their own rules. I'm not a lawyer, but since these are privately owned terminals, I believe they are legally entitled to make their own rules while you are in their property. This link provides phone numbers of who to call to get information in advance. Click on the Videotaping/Photographing at Port Authority Facilities tab.
http://www.panynj.gov/press-room/media-access.html