Henry James William Wheeler (27 March 1840 – 29 October 1908) was an English cricketer.
Wheeler's batting and bowling styles are unknown.
He was born on Gibraltar.
Wheeler made his one and only first-class appearance for Middlesex in 1864 against Sussex at the Royal Brunswick Ground in Brighton.
In this match he scored 44 runs in two innings, with a high score of 27 and a batting average of 22.00, while in the field he took a single catch.