North American Aerospace Defense Command spokesman John Cornelio says the F-22s intercepted the small planes during two separate incidents over central New Jersey around 11 a.m. Tuesday.
The FAA says the pilots did not radio for permission to enter the airspace. It took one plane 20 minutes to exit and the other 14 minutes.
They were forced to land at Central Jersey Regional Airport in Hillsborough.
The FAA will investigate before deciding whether to punish the pilots.
The temporary no-fly zones were established around the New York City metropolitan area because of the U.N. meeting.