USS Drayton (DD-366) was a Mahan-class destroyer in the United States Navy before and during World War II. She was the second ship named for Captain Percival Drayton, a career naval officer who served during the American Civil War. Drayton was launched 26 March 1936 by the Bath Iron Works, Bath, Maine; sponsored by Miss B. E. Drayton, great-grandniece of Captain Drayton, and commissioned 1 September 1936.