Klouček scored 10 (2+8) points in 141 career games in the NHL with the New York Rangers, Nashville Predators, and Atlanta Thrashers from 2000-2006. He also played professionally for the Hartford Wolf Pack, Milwaukee Admirals, Chicago Wolves Syracuse Crunch, HC Zlin, Barys Astana, Lev Poprad, HC Oceláři Třinec, HC Kosice, Orli Znojmo, Rytiři Kladno, and Wildcats d'Épinal, up until retirement in 2017.