William Henry Thompson (18 January 1866 – 28 September 1920) was an English cricketer. Thompson's batting and bowling styles are unknown. He was born at Padiham, Lancashire.
Educated at Uppingham School, Thompson made a single first-class appearance for Liverpool and District against Yorkshire in 1892 at Aigburth Cricket Ground, Liverpool. In a match which Liverpool and District won by 6 wickets, Thompson batted once, scoring 10 runs in Liverpool and District's first-innings before he was dismissed by Louis Hall, while with the ball he took a single wicket, that of Thomas Wardall in Yorkshire's second-innings.
He died at Southport, Lancashire on 28 September 1920.