Admiral Sir Graham Moore, GCB, GCMG (1764–1843) was a Royal Navy officer. As a junior officer he took part in the Great Siege of Gibraltar during the American Revolutionary War. As captain of the frigate Melampus, he took part in the Battle of Tory Island in October 1798, capturing the French frigate Résolue two days later, during the French Revolutionary Wars. He went on to be First Naval Lord, then Commander-in-Chief, Mediterranean Fleet, and finally, Commander-in-Chief, Plymouth. He was the younger brother of General Sir John Moore.