Andrei Kostitsyn scored less than a minute into the game to give the Canadiens a quick 1-0 lead, but the Bruins seized control of the game before long.
Michael Ryder and David Krejci scored near the end of the first period to give Boston a lead that they would never relinquish.
Phil Kessel and Ryder scored with a minute of each other in the second period to give the Bruins a 4-1 lead, which is how the score would remain over the final 27 minutes of the contest.
Tim Thomas had 26 stops for a 96.2 save percentage, while Casey Price allowed four of Boston's 30 shots to slip into the net.
Team Achievement - Hockey Wiretap
Sharks Lose, But Win Presidents' Trophy
The Kings finished their season with a 4-3 win over the Sharks, who managed to clinch the Presidents? Trophy anyway on Saturday, according to an Associated Press report.
San Jose secured the top record in the NHL (53-18-11) for the first time in club history when the Boston Bruins lost 6-1 at Buffalo earlier in the day.
Devin Setoguchi, Joe Pavelski and Patrick Marleau had goals for San Jose, which wrapped up the regular season and will be the top-seeded team in the Western Conference playoffs.
Capitals Lock Up East's No. 2 Seed
The Capitals defeated the Lightning 4-2 on Thursday night, locking up the No. 2 seed in the Eastern Conference.
"We're definitely proud of our accomplishments, but we haven't done nothing yet," said Washington defenseman Mike Green.
Washington also set a franchise record with 108 points and tied a team mark with 50 wins, matching the 1985-86 team.
"I think you've got to rank this team up there with a lot of them," Capitals coach Bruce Boudreau said. "I think it's quite an accomplishment in today's day and age with the salary cap and all the teams have the ability to be equal. But I think the best team in Capitals history has got to win the Stanley Cup because they've been there and lost it."
Flyers Beat Panthers, Clinch Playoff Berth
The Flyers defeated the Panthers 2-1 on Tuesday night to clinch a playoff berth.
"Obviously it's nice to get into the playoffs, but we still have a lot of work to do to get home ice advantage," said Jeff Carter.
Flames Move Closer To Clinching Division
The Flames defeated the Kings 4-1 on Monday night to move closer to the Northwest Division title.
Calgary can clinch the division title with a regulation win over the Canucks on Tuesday night.
"This is what you play for," Jarome Iginla said. "All season, you talk about the division and now we have the opportunity. It's just one game. We're looking forward to it and we feel in back-to-backs, we're due for a lot better performance, too."
Sharks Set Franchise Record With 52nd Win
Joe Pavelski and Jonathan Cheechoo scored the tying and go-ahead goals during power plays and the Sharks set a franchise record with their 52nd victory, beating the Ducks 3-2 on Sunday night, as reported by the Associated Press.
Bruins Clinch Top Seed In The East
One day after signing a contract extension and 5 1/2 minutes after being hit in the back of his helmet by Sean Avery, Tim Thomas was mobbed by teammates celebrating the Bruins? 1-0 win over the Rangers on Saturday.
The victory clinched the best record in the Eastern Conference for Boston for the first time since 2001-2002.
Flames Clinch Playoff Berth With Win
Calgary defeated Dallas 2-1 on Thursday night to clinch a playoff berth for the fifth straight season.
"Making the playoffs is just a step on the way to another one," said Jarome Iginla. "We didn't even talk about it afterward. I'm sure we'll talk about it on the bus, but our goal is more than that."