Harry Rodney Downer (19 October 1915 – March 1980) was an English first-class cricketer. Downer was a right-handed batsman. He was born in Southampton, Hampshire.
Downer served in the British Army as a 2nd Lieutenant in the Intelligence Corps during the Second World War. Following the war, Downer represented Hampshire in two first-class matches in 1946, the first County Championship after the war. He made his debut against Middlesex at Lord's. In this match he was dismissed for a single run in Hampshire's first-innings by Bill Etherington. In their second-innings he was dismissed for 4 by the same bowler. His second and final first-class match came against Gloucestershire at the County Ground, Southampton. In this match he was dismissed for a duck in Hampshire's first-innings by Sam Cook and in their second-innings he was run out for 3. His two matches for Hampshire had yielded him 8 runs at a batting average of 2.00.