Damphousse had a long NHL career as a consistent scorer, finishing with at least 20 goals in 12 of his 18 seasons, exceeding 90 points four times and helping his hometown Montreal Canadiens win the Stanley Cup in 1993.
The Toronto Maple Leafs selected Damphousse with the No. 6 pick in the 1986 NHL Draft after seasons of 103 and 155 points with Laval of the Quebec Major Junior Hockey League. He scored 21 goals as a 19-year-old NHL rookie in 1986-87 and topped that total three times in the next four seasons, including a 33-goal, 94-point season in 1989-90. The forward scored four goals in the 1991 NHL All-Star Game at Chicago Stadium and was voted the game's most valuable player.