Besides their C2-10,000 Olympic bronze in 1956, József Hunics and Imre Farkas won bronze in C2-1,000 at the 1957 European Championships and were fifth in C2-1,000 at the 1958 World Championships. At the 1959 European Championships, Hunics, by then teamed up with Gyula Dömötör, won gold in C2-1,000 and silver in C2-10,000. Domestically he won six Hungarian titles, pairing with Farkas to win the C2-500 m, C2-1,000 m and C2-10,000 at the 1956 and 1957 Hungarian championships. Hunics retired from sports in 1960 and later worked as a canoeing coach in Hungary.