Funter Bay is a two-mile-long (3 km) bay on the western side of Admiralty Island near its northern tip, in the Alexander Archipelago of the U.S. state of Alaska. It lies within the Hoonah-Angoon Census Area, in the Unorganized Borough of Alaska. Funter Bay was named in 1883 by William Healey Dall for the maritime fur trader Robert Funter, who explored and mapped parts of the coast in 1788 as captain of the vessel North West America.