Joseph Anthony Brady (born 9 April 1952) is an Irish former rugby union international.
Brady, born in Dublin, attended C.B.C. Monkstown and is a product of Killiney-based club Seapoint.
While playing with Wanderers, Brady was capped twice for Ireland in the 1976 Five Nations Championship, against England at Twickenham and Scotland at Lansdowne Road. He was also a member of the Ireland squad that toured New Zealand that year, playing tour matches but not in the Test. His appearances with Ireland were as a centre, a position he had recently switched to, having previously played his rugby as a wing or wing-forward.