How many nuclear powered ships does the US Navy operate?

Answer 1

Between 1988 and 1990, the number of nuclear-capable ships and submarines in the U.S. Navy declined from 292 to 138.
Currently 107:
11 aircraft carriers:
CVN-65 U.S.S. Enterprise (Class Vessel)
CVN-68 U.S.S. Nimitz (Class Vessel)
CVN-69 U.S.S. Dwight D. Eisenhower
CVN-70 U.S.S. Carl Vinson
CVN-71 U.S.S. Theodore Roosevelt
CVN-72 U.S.S. Abraham Lincoln
CVN-73 U.S.S. George Washington
CVN-74 U.S.S. John C. Stennis
CVN-75 U.S.S. Harry S. Truman
CVN-76 U.S.S. Ronald Reagan
CVN-77 U.S.S. George H.W. Bush (building)
Planned for 2007 with Spy-3 MFR
96 Submarines

Answer 2

aircraft carriers: 11