The Lightning, who have clinched the Presidents' Trophy, are two victories from the NHL record for most wins in a season, set by the 1995-96 Detroit Red Wings, who won 62 games.
Tampa Bay became the third team to win 60 games with a 5-2 win at the Ottawa Senators on Monday. The 1976-77 Canadiens also had 60 wins.
The Canadiens, who are 5-1-1 in their past seven games, will try to gain in the wild-card race into the Stanley Cup Playoffs from the Eastern Conference.
Montreal is one point behind the Carolina Hurricanes, who hold the second wild card from the East and play at the Toronto Maple Leafs on Tuesday, and two points behind the Columbus Blue Jackets, who hold the first wild card and play the Boston Bruins.