At the 2002 Winter Olympics in Salt Lake City, Tajner finished sixth in the large hill team competition and 39th in the individual large hill competition. At the 2003 Ski Jumping World Championships in Val di Fiemme, he finished seventh in the large hill team competition and 36th in the individual large hill competition. At the 2002 Ski Flying World Championships in Harrachov, he finished 33rd in the individual event.