Sir Alexander Falconer Giles, KBE, CMG (16 September 1915 – 11 April 1989) was a British colonial administrator.
He was elected President of the Oxford Union for Michaelmas 1939, but did not hold office because of war service.
From 1955 to 1961/2 he was Administrator of St Vincent and from 1962 to 1965 he was Resident Commissioner for Basutoland, the last holder of the post.
After his retirement from the Colonial Service, he was chairman of the Victoria League in Scotland from 1968 to 1970, chairman of the Scottish Council of the Royal Over-Seas League from 1969 to 1970, and of its Central Council from 1972 to 1975.
He was director of Toc H from 1968 to 1974, and general secretary for Scotland of the Royal Over-Seas League from 1976 to 1978.