He was a referee at the 2004 and 2007 AFC Asian Cup. Kwon also officiated in many FIFA events, including the 2003 and 2005 FIFA World Youth Championships, and qualifying matches for the 2002, 2006, and 2010 World Cups. Kwon was named to FIFA's list of 44 candidate referees for the 2006 FIFA World Cup in Germany, but was not selected for the final competition.