Kiss finished twelfth at the 1994 European Championships. In 1995 he broke the 80-metre barrier for the first time, his season's best being 82.56 metres, achieved in Veszprém in August. He participated at the 1995 World Championships, and finished fourth. Kiss was almost two metres short of the bronze medal, which was won by compatriot Tibor Gécsek. However, Kiss won the gold medal at the 1995 Summer Universiade.