Thomas Vanek scored twice and Lars Eller and Max Pacioretty also scored for Montreal, which overwhelmed the Bruins to tie the series at 3-3.
Game 7 is Wednesday night in Boston.
Eller opened the scoring just 2:11 into the game after the Bruins misplayed the puck and Eller was alone in front of the net to beat a sprawled out Tuukka Rask.
Pacioretty made it 2-0 after scoring on a long stretch pass through Rask’s legs in the second period.
Before the period was over Vanek scored on the power play. Vanek added his second of the game into an empty net late in the third.
Rask finished with 24 saves for the Bruins.
RANGERS: Goalie Henrik Lundqvist has been fined $5,000 for emptying his water bottle onto Sidney Crosby while the Pittsburgh Penguins captain was involved in a scrum in front of the New York net.
After the buzzer sounded following the second period of Game 6 on Sunday night, Lundqvist casually skated behind Crosby and sprayed him with water while Crosby was down on the ice. No penalty was called.
The league punished Lundqvist on Monday night for unsportsmanlike conduct.
BLACKHAWKS: Injured forward Andrew Shaw will miss his fifth consecutive game.
Blackhawks coach Joel Quenneville says Shaw’s lower-body injury is progressing, but he won’t make the trip for tonight’s Game 6 in Minnesota. Chicago can eliminate Minnesota and advance to the Western Conference final.
Quenneville hopes Shaw will skate in the next day or so. Shaw sustained the injury during Game 1 of the series in Chicago.
Shaw had a career-high 20 goals and 19 assists during the regular season and scored twice in seven postseason games.
MAPLE LEAFS: Goaltender Jonathan Bernier had sports hernia surgery and will be ready for the start of training camp.
Bernier missed five games in March due to the injury. He aggravated it April 3 against the Boston Bruins and had to miss the remainder of the season.
Bernier posted a 26-19-7 record in his first season with Toronto.
The Maple Leafs also said defenseman Carl Gunnarsson had hip surgery and both he and forward Joffrey Lupul (knee meniscus surgery) will also be ready for training camp.
COYOTES: Signed defenseman Chris Summers to a two-year contract extension.
Terms of the deal were not released.
The 26-year-old Summers played 18 games for the Coyotes this season, scoring two goals with an assist. He also had two goals and seven assists in 48 games with the Coyotes’ AHL affiliate in Portland, Maine.
Summers was drafted with the 29th overall pick in the 2006 NHL draft and has appeared in 47 career NHL games.