He debuted in the Polish national team in 2007 (during the Poland - Argentina match). Możdżonek was in the Polish squad when the Polish national team won the gold medal at the European Championship 2009. On September 14, 2009 he was awarded The Order of Polonia Restituta. The Order was conferred on the following day by the Prime Minister of Poland, Donald Tusk. With the Polish team, he won three medals in 2011 - silver at World Cup and two bronzes at World League and European Championship. In November 2011 he was declared the new captain of national team. He is a gold medalist of World League 2012 in Sofia, Bulgaria. In May 2014 he was replaced as captain by Michał Winiarski. On September 21, 2014 Poland won the title of World Champion 2014. On October 27, 2014, he received a state award granted by the Polish President, Bronisław Komorowski: the Officer's Cross of Polonia Restituta "for outstanding sports achievements and the promotion of Poland in the world".