Thomas Alexander Gibson (30 January 1880, Gateshead – 27 April 1937 (aged 57)) was a British international rugby player.
He was born in Gateshead, Durham . His brothers were international rugby players Charles 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.