George H. Conway (c. 1878 – June 20, 1939) was a Triple Crown-winning American horse trainer who worked at Glen Riddle Farm in Berlin, Maryland. He is best known for training War Admiral, who won the Triple Crown in 1937 and was selected as the American Horse of the Year over his nephew and competitor Seabiscuit. Other notable horses trained by Conway include American Flag, who won the Belmont Stakes in 1925 before training with Conway, Crusader, who won the 1926 Belmont Stakes with Conway, Maid at Arms, who was the 1925 American Champion Three-Year-Old Filly, and War Relic, who was the last horse that Conway trained.