Indian Point is 38 miles north of New York City on the Hudson River. It sits near the Ramapo Fault, but earthquakes on that fault line are rare.
Entergy Corp., which runs the plant, says the reactors are safe. Spokesman Jim Steets said the reactors were built to withstand a magnitude-6 earthquake, and the plant's backup electrical generators are on high ground and safe from any tsunami that might swell the Hudson River.
The New York Public Interest Research Group plans to request that Cuomo also discuss the state's other aging nuclear plants at the NRC meeting.
The Sierra Club also is asking the governor to expand his agenda.
A spokesman for Cuomo did not immediately return a call seeking comment.