Matthew Robert Neely (24 December 1919 – 19 October 1997) was an Irish international rugby union player.
Born near Ballymena, Neely served as a Surgeon-Lieutenant in the Royal Navy and after being decommissioned played rugby for Collegians. He was capped four times for Ireland in the 1947 Five Nations, playing as a prop. A doctor, Neely was the Principal Registrar at Belfast's Royal Victoria Hospital and was married in 1950 to fellow doctor Jean Stewart.