József Rády started his career with MAC in 1907. He was an excellent fencer in all three disciplines and was a pioneer of épée fencing in Hungary, but he also achieved remarkable results in sabre and foil. He won the Hungarian individual sabre title in 1926, and the individual foil title in 1927 and 1929. Additionally he won both disciplines four times in the team event with MAC. From 1923-32, Rády was the member of the Hungarian national team both in sabre and foil. At the Olympics, he won the sabre team silver in 1924 and gold in 1928 when he was also equal fifth in the team foil. Rády won a sabre team gold medal at the 1930 European Championships in Liège. He ended his active career in 1933, and then worked for the Hungarian Fencing Association.