Brad Marchand scored for the Bruins (39-17-9), who are 12-0-4 during the streak and haven't lost in regulation since a 3-2 loss to the New York Rangers on Jan. 19. Boston leads the Toronto Maple Leafs by three points for second place in the Atlantic Division.
"We were expecting that kind of game," Bruins center Patrice Bergeron. "They're a team that doesn't give you much and they're hard on the forecheck, their back pressure is pretty sound. So there's not much room out there on both sides. Obviously, getting that lead early led to us kind of playing stingy and being good defensively, and obviously we would like to score more, but it's definitely the type of game that we played tonight and still found a way, so you've got to be happy with that."
WATCH: [All Devils vs. Bruins highlights]
Tuukka Rask made 20 saves for his third shutout of the season and 44th in the NHL. He is 14-0-3 in his past 18 games.
"I think it comes with the experience. You just kind of learn to hang out, watch the game and just take it like a practice, you know," Rask said about the light workload. "When they come you try to stop it, and that's it."
Mackenzie Blackwood made 29 saves for the Devils (25-33-8), who have lost three in a row and five of their past seven (2-5-0).
"I think with the group we have, we have to find a way to get a few more tip-in rebound type plays," Devils coach John Hynes said. "You know we did have some good looks. … But we're not generating enough to obviously be able to score, but then I also think we've got to get some grittier, greasier goals."
Marchand gave Boston a 1-0 lead at 2:37 of the first period with a power-play goal. Jake DeBrusk batted down the puck out of the air to Bergeron, who sent a backhand pass to Marchand in the right circle.
