The league's leading scorer received first-place votes on 97 of the 105 ballots and totaled 1,016 points, 763 more than runner-up Jarome Iginla of the Calgary Flames.
St. Louis had 38 goals this season and 56 assists.
Teammate Brad Richards won the Lady Byng Trophy, given to the player who displays the best sportsmanship and gentlemanly conduct. And Tampa Bay's John Tortorella captured the Jack Adams Award as the league's top coach.
In his third full season as coach of the Lightning, Tortorella guided the club to the Stanley Cup.
Iginla was named winner of the King Clancy Memorial Trophy, which is given to the player who exemplifies leadership on and off the ice.
Martin Brodeur of the New Jersey Devils won his second straight Vezina Trophy as the league's top goaltender.