Price made 26 saves, while Lightning goaltender Anders Lindback stopped 20 shots. Kristers Gudlevskis, the Latvian goalie who made 55 saves to put a scare into Team Canada in Sochi, replaced him and allowed a goal on three shots.
Desharnais opened the scoring for Montreal at 2:34 of the second period on the power play, and Bourque added his first of the game eight minutes later.
Gallagher gave the Canadiens a 3-0 advantage with his goal halfway through the third. Bourque scored his second of the night on a wraparound at 14:39.