MONTREAL — Carey Price's teammates are no longer amazed when the Canadiens goaltender makes an impossible save look easy.

Price made a game-changing stop in the third period, one of his 30 saves on the night, to lead Montreal to a 3-1 victory against the Tampa Bay Lightning on Thursday, extending the club's winning streak to six games.

Down 1-0 to start the third, Price kept his side in the game by robbing Ondrej Palat from close range with a lightning-fast right-leg kick. The puck, destined for the back of the net, went off Price's toe and bounced into the boards. The Canadiens netminder called it a "lucky" save.

"It's the norm now with him," said forward Torrey Mitchell. "You're almost not even surprised by it. Most goalies, it's in the back of the net. That just gives us that momentum, it gives us such a big boost. You see the confidence that we come out with on the next two or three shifts after those types of saves."

Montreal responded with two goals in the third period from Alex Galchenyuk and Max Pacioretty to take the lead. Mitchell's empty-net goal in the dying seconds sealed the come-from-behind victory.

"That's just him being himself, making the right save at the right time," said Pacioretty, who scored the game-winner. "Normally when there's a big save or a big play, you generally see the team tend to give a little bit more effort and rally together to play in front of a play like that.

"Big turning point in the game."

With the Canadiens on the power play in the third, still down by one, Andrei Markov fooled the Lightning with a cross-ice pass instead of taking a shot on net. The first-line centreman Galchenyuk made no mistake with the one-timer just above Ben Bishop's glove. Jeff Petry got the play started with a spin move at the blue line.

Four minutes later, Pacioretty broke the deadlock by beating Bishop glove-side. Blown coverage by the Bolts meant the Canadiens captain found himself all alone on the edge of the face-off circle, and Bishop couldn't see the shot with Andrew Shaw posted firmly in front of goal.

"World-class goalies don't have chances on those," said Lightning coach Jon Cooper. "Look at the goals that went in. They weren't gifts. They got the extra bounce and we didn't.

"It was a pretty even game. It came down to two good teams, chances were probably even and shots were close. It came down to special teams."

Montreal (7-0-1) remains the only team still undefeated in regulation time this year.

The Lightning (5-2-0) lost against an Eastern-Conference opponent for the first time this season.

Alex Killorn beat Price for the game's first goal at 16:08 by deflecting home a slap pass from Victor Hedman. Killorn snuck in behind defenceman Alexei Emelin, put himself in a good position just outside the crease and got enough of the puck for his team-leading sixth goal of the season.

The 27-year-old Killorn has scored in six of Tampa's seven games this season.

It was just the second time this season Montreal conceded the game's first goal.

Price was headed towards his eighth straight loss against Tampa Bay before Montreal's back-to-back goals in the third period. Price's previous win against the Lightning was on Dec. 28, 2013.

Nikita Kucherov, who fell awkwardly into the boards in the first period, left the game and did not return.

Notes: Habs defenceman Mikhail Sergachev was a healthy scratch for the fourth consecutive game. … Shea Weber saw his four-game point streak come to an end. … Montreal leads the league with 25 points from its defencemen.