Trophée Lady Byng
After the 2011–12 season, Moulson became the first New York Islander since Žigmund Pálffy to post three consecutive 30-goal seasons. On May 16, 2013, Moulson was named a finalist, along with Patrick Kane and Martin St. Louis, for the Lady Byng Memorial Trophy, awarded annually to the player adjudged to have exhibited the best type of sportsmanship and gentlemanly conduct combined with a high standard of playing ability.