Participations at the World Championships in 1999 and 2001 followed. In 1999 he failed to reach the final, whereas in 2001 he finished sixth. In 2002 he finished fourth at the European Championships and third at the Grand Prix Final. His best throw between 1999 and 2002 was 81.36 metres, achieved in July 2001 in Cottbus. Kiss became the Hungarian champion in 1995, 1998 and 2000, rivalling with Tibor Gécsek, Adrián Annus and Zsolt Németh.