Where in NJ are you going? First you need to get to Penn Station for NJ Transit or Amtrak train service. Take Airtrain from your terminal to Jamaica Station and either E subway or LIRR to Penn Station, or you can take the NYAS express bus from your terminal to Penn Station. Check www.njtransit.com for schedules and fares to your NJ destination.
Where in NJ are you going?