He has also won eleven medals at the ICF Canoe Sprint World Championships with five golds (C-2 500 m: 2007, C-2 1000 m: 2006, C-4 200 m: 2001, 2003, C-4 1000 m: 2001), two silvers (C-2 500 m: 2005, C-4 500 m: 2001), and four bronzes (C-2 500 m: 2006, C-2 1000 m: 2003, 2005; C-4 1000 m: 1999). From 2003 until 2008, he was the C-2 partner of György Kolonics.
In the European championships Kozmann has been a gold medalist four times - C-4 500 m (2002), C-4 1000 m (2000 and 2002) and C-2 500 m (2004).
Kolonics death came weeks prior to the 2008 Olympics, to what the pair qualified for both the C-2 500 m and the C-2 1000 m events. Kozmann refused to take part in the games, consulted with his coach, friends and Kolonics's friends, then changed his mind. He competed in the C-2 1000 m event with Tamás Kiss, and the pair finished on the third place in the C-2 1000 m final. He later received a Fair Play prize for this from the Hungarian Olympic Committee.
Kozmann is a member of the Atomerőmű SE club and is coached by Attila Szabó. He is 179 cm (5'10") tall and weighs 83 kg (182 lbs).
