"I think we kept them to the outside for the most part," Rask said. "There was one tip late in the third period that hit someone's shin pad and it ricocheted to my glove and that's the toughest save. But I saw all the shots."
WATCH: All Kings vs. Bruins highlights
The Bruins (17-13-3), who were playing without forward David Pastrnak (elbow), who's second in the League with 19 goals, won for the second time in their past seven games (2-3-2) and ended a three-game home losing streak.
"That's a pretty big, heavy team they have there," Bruins coach Claude Julien said. "And their offense usually comes from wearing you down and winning battles and crashing the front of the net. They have some [defensemen] that can shoot the puck really well. Their game plan is very efficient for their team.
"In our end of it, we knew again they've got good size and it wouldn't be easy to get to the front of the net that much. But our guys did a good job. I know we only had that one goal but we had some opportunities around the net and it was that type of game that you needed to beat those guys. I thought we did a great job defensively, which was probably the key there this afternoon to this win."
The Kings (16-13-2) were without forwards Dustin Brown (upper-body injury) and Marian Gaborik (healthy scratch), and were shut out for the fourth time this season. They're 2-2-0 to start a stretch of nine straight road games.
Peter Budaj made 29 saves.
"We just played our fourth game in six-and-a-half days," Kings coach Darryl Sutter said. "We played our [butts] off again today. Guys who don't [play hard] get [scratched], guys who do [have] to play again today and they left it all out there."