According to its application, the club would serve alcohol to customers. They could watch entertainers dance and strip from evening wear to underwear over the course of three songs.
New Jersey law prevents dancers from flashing or exposing anything that can be covered by pasties or thongs in establishments where alcohol is served.
Trump Entertainment Resorts spokesman Tom Hickey says the parties are still negotiating a lease.
Starlight attorney Scott Silver says the club would require about six months and $3 million worth of construction before it could open.