Arthur Cracroft Gibson (7 November 1863 – 8 December 1895) was an English cricketer who played five in first-class cricket matches for Kent County Cricket Club in 1883 and 1884.
Born at Sittingbourne in Kent, Gibson was a right-handed batsman who bowled right-arm medium pace.Gibson made his debut in first-class cricket for Kent in 1883 against MCC.
He played in three further first-class matches in 1883 before making his final first-class appearance in 1884 against Sussex.
He died at Whitehill near Faversham in Kent in December 1895 aged 32.