He has been a member of the Poland men's national handball team in 1981–1994 and Germany men's national handball team in 1997–2000, a participant of the Olympic Games Sydney 2000,[1] five-time Polish Champion (1984, 1985, 1986, 1987, 1988), and former head coach of Poland.

Wenta's entire career in Poland was connected with one club - Wybrzeże Gdańsk, where he started playing in first team in 1978, when he was 17.

He was five-times Polish Champion (1984–1988) and achieved European Cup final twice, losing to RK Metaloplastika Šabac in 1986 and SKA Mińsk in 1987.

He represented Poland in 185 official games (including friendly matches 198) and scored 763 goals, which is the third result in history of Polish handball.

He represented the German side in 46 official games (and 4 friendly matches) and scored 144 goals.

From summer 2006 to autumn 2007 he was head coach of German handball club, SC Magdeburg.

On 28 October 2004 Wenta was announced as Poland men's national handball team head coach.

In 2007 he achieved with national team the biggest success of Polish handball - Poland won silver medal of World Championship.

In addition to his committee assignments, he was a member of the Parliament's delegation to the ACP–EU Joint Parliamentary Assembly.