The lawsuit by the Missionary Sisters of the Sacred Heart Inc. says Gloria and Michael Lim are causing "foul and harmful odors" to come from their 16th floor apartment by cooking and smoking large quantities of fish.
Court papers said one tenant thought a dead body was decomposing in the East 19th Street apartment and called the Fire Department.
The lawsuit asks that the Lims be required to stop causing the "noxious" odors and pay legal fees and damages of at least $50,000.
Andrew Bittens, a lawyer for the nuns, declined to comment, and a call to the Lims wasn't immediately returned.