Henry Lindsay (died 1908) was an Irish international rugby union player.
Born in Armagh, Lindsay played for Dublin University and was a versatile forward, sometimes utilised as a three-quarter on account of his speed. He was capped 13 times for Ireland from 1893 to 1898, which included all three matches of their 1894 Home Nations triple crown, as well as another championship win in 1896.
Lindsay served for a brief period as headmaster of Cookstown Academy.