"They hadn't beaten us this year, and they were determined to do that," Bruins coach Bruce Cassidy said. "First period, I thought we were clearly outplayed for the most part yet we came out of it 0-0. I thought the second period we actually didn't give up as much quality chances, and three of them went in."
Victor Hedman gave Tampa Bay a 2-0 lead at 10:59 of the second with a shot from the left point.
"The first two periods was some of the best hockey we've played all year," Hedman said. "In the third period, we did a good job of shutting them down. That was a big shutout for us. We wanted to play a good defensive game, and it was a great team effort."
Chris Kunitz scored on the rebound of a Ryan Callahan shot at 14:27 to make it 3-0.
J.T. Miller made it 4-0 at 2:34 of the third period, capitalizing on a turnover by Bruins forward Jake DeBrusk, who lost the puck when he fell in the Lightning zone to set up a 2-on-1. Miller has 10 goals in 17 games since being acquired in a trade from the New York Rangers on Feb. 26.
"Look at the score, 4-0, they were definitely the better team," Rask said. "I don't think it was necessarily a 4-0 game, but I donated them a goal there and the first 30 minutes they were on top of us."