Moray was laid down on 21 April 1943 at Cramp Shipbuilding Company, Philadelphia, Pennsylvania; launched on 14 May 1944, sponsored by Mrs. Styles Bridges, wife of the New Hampshire Senator; and commissioned on 26 January 1945.

The submarine cleared Saipan 27 June for her first war patrol as the senior unit of a coordinated attack group including Sea Poacher (SS-406), Angler (SS-240), Cero (SS-225), Lapon (SS-260), and Carp (SS-338).

Barrows in Moray assigned stations when the group reached its patrol area off Tokyo 1 July.

However, Moray did get a chance at some action, when she and Kingfish (SS-234) attacked a convoy off Kinkazan, Honshū, 10 July.

She was struck from the Navy List 1 April 1967 and sunk as a torpedo target on 18 June 1970 off San Clemente, California.