Thomas Alexander Gibson (30 January 1880, Gateshead – 27 April 1937(1937-04-27) (aged 57)) was a British international rugby player.
His brothers were international rugby players Charles Gibson and George Ralph Gibson.
He played rugby as a forward for Northern.
In 1903 he took part in the British Lions tour of South Africa, playing 3 games.
He was then capped twice for England for the 1905 Home Nations Championship.