"When you start losing a little bit and it gets a little uncomfortable, teams can go different directions," Bruins coach Bruce Cassidy said. "I've always found that this team when there's a little bit of adversity will come together and not split apart."
Charlie Coyle scored two goals, Charlie McAvoy had a goal and an assist, and David Pastrnak had two assists for the Bruins (12-5-2). Tuukka Rask made 20 saves.
Boston lost its previous two games, 6-2 to the Rangers here Friday and 7-2 at the New York Islanders on Thursday.
"That's Bruins hockey for us," Coyle said. "We're a hard team to play against. We're going to get the result more times than not (when) we play that way."
Colin Blackwell scored, and Alexandar Georgiev made 31 saves for the Rangers (7-9-3).
"You've got to tip your hat to how they played, but I don't think we got inside enough, made enough plays," Rangers defenseman Brendan Smith said. "We didn't have enough offensive scoring opportunities. A lot of times when teams are, I guess, against the gun, they're going to put their best foot forward. We have to be grittier and get to those tough areas. It's hard to get there but that's how you create offense. We didn't do enough of that."
Georgiev allowed one goal on five shots before he was replaced by Igor Shesterkin (one save) following Coyle's first goal at 6:41 of the first period. Georgiev's mask cut him above his left eye when Nick Ritchie fell on top of him at 5:48, but he stayed in until allowing the goal.
Shesterkin played the rest of the first period and allowed one goal before Georgiev returned for the start of the second period.
"The NHL buzzed down and said they wanted to have him looked at for his head," Rangers coach David Quinn said. "After the first period, he was fine just like he was before the game."
Coyle gave the Bruins a 1-0 lead beating Georgiev high on the glove side with a with a quick shot from low in the left face-off circle.
Georgiev said he was not bothered by his head or the cut on the goal.
"I tried to be in the game as usual," he said. "I need to watch the video, but it seemed like a good move by the other guy. Definitely wish I could have had that one."