Arthur Godfrey Kilner Brown (February 21, 1915 - February 4, 1995) was a British athlete, winner of gold medal in 4x100 m relay at the 1936 Summer Olympics. He later became Headmaster at the Royal Grammar School Worcester.

Born in Bankura, Bengal, India, Godfrey Brown was a highly talented runner at distances from 100 yd to the half mile. He won the British AAA championships in 440 yd in 1936 and 1938 and in 880 yd in 1939.

At the Berlin Olympics, Brown was narrowly beaten by Archie Williams in the 400 m individual event, but Brown anchored the British 4x400 m relay team to a gold medal ahead of the United States.

In 1937, Brown won 400 m at the World Student Games, with additional gold medals at both relays.

At the 1938 European Championships , Brown won the individual 400 m, anchored the British 4x400 m relay team to a second place and won the bronze at 4x100 m relay.

Brown studied English and History in Cambridge University and worked after graduation as a History Master at Bedford School. Because his sight was poor he was not mobilized in the Army, staying as school master at Rochester School and evacuated during the World War II to Lamberhurst and then Taunton. From 1950 till 1978, Brown was the headmaster of Worcester Royal Grammar School. He died in Sussex, aged 79.

His sister Audrey and brother Ralph were also a notable athletes, Audrey winning a silver in 4x100 m relay at the 1936 Olympics and Ralph won the British AAA championships title in 440 yd hurdles in 1934.