Rask is 11-0-6 at home this season for the Bruins (32-10-12), who are 8-2-1 in their past 11 games. His point streak to start the season at home tied Gilles Gilbert's Bruins record (16-0 with one tie to start the 1973-74 season).
"That was one of the best checking games all over the ice I remember, I think," said Rask, who has three shutouts. "We took their time and space away and they didn't have too many chances from the slot or anywhere else. So I think everybody checked well and defended well, and that turned to offense, so that's great to see. You know we win 4-0, it was a great checking game."
WATCH: [All Canucks vs. Bruins highlights]
Charlie Coyle had one goal and one assist, and Charlie McAvoy had two assists for the Bruins, who are in first place in the Atlantic Division, five points ahead of the Tampa Bay Lightning.
Jacob Markstrom made 38 saves for the Canucks (30-19-5), who lost in regulation for the first time in their past seven games (5-1-1). Vancouver is in first place in the Pacific Division, three points ahead of the Edmonton Oilers.
"Our team was excited to play tonight. Whenever you play a team as good as Boston, you want to have a good outing, we wanted to beat them," Vancouver coach Travis Green said. "Yeah, we just weren't good enough. That's a team that lost in the 0Stanley Cup] Finals last year, they know how to win, they know how to play, they're heavy on the puck. I thought just we didn't get inside enough on them. I thought in the small areas of the game they were harder than us."
Coyle gave the Bruins a 1-0 lead at 14:24 of the first period. Coyle settled the rebound of a McAvoy shot and then beat Markstrom with a forehand shot from the slot.