Hellman played 19 international games with the Swedish national team. Most notably, he competed in the 1936 Winter Olympics in Garmisch-Partenkirchen. The Swedish team finished in a tie for 5th place, but the event doubled as the European Championship and Hellman thus won a European bronze medal. He also competed in the 1935 and 1938 World Championships, as Sweden finished 5th in both tournaments.