Craig Smith scored at 3:20 of the first period to give Boston a 1-0 lead with a wrist shot from the right face-off circle on a touch-pass from Bergeron. Smith played nine seasons for the Predators from 2011-2020.
"It was a timely goal, too, right away to get us going," Smith said. "Some nice plays there allowed me to get the shot off. They've been playing well too. So we knew it was going to be a hard-fought battle. It's just great to get on the board first."
Mike Reilly made it 2-0 at 7:37, scoring on a forehand-backhand move.
Sissons scored to make it 2-1 at 14:30 with a wrist shot from the high slot.
"I think we responded well," Sissons said. "We had a couple of mistakes sorting out some coverage on rushes early on, which will happen, but I really liked our response. We lost the hockey game but got a huge point. I think we can build off this game. That shouldn't be one that hurts our confidence at all."
Kunin tied it 2-2 at 7:32 of the second period with a wrist shot through the legs of Boston defenseman Brandon Carlo at the top of the right circle. Marchand gave the Bruins a 3-2 lead on the power play at 3:50 of the third period with a snap shot from the right face-off circle for his 20th goal of the season.
"They had a good push in the second, we knew they would," Boston coach Bruce Cassidy said. "... We found our game, we got back to it, we were starting even (in the third period), and I thought we were the better team in the third and eventually got the win."