Dukurs finished seventh in the men's skeleton event at the 2006 Winter Olympics in Turin and sixth in the men's skeleton event at the 2007 FIBT World Championships in St. Moritz. He won the gold medal in the men's event at the 2011 FIBT World Championships, 2012 FIBT World Championships, 2015 FIBT World Championships, 2016 FIBT World Championships and 2017 FIBT World Championships.