GLENDALE, Ariz. -- Carey Price made 36 saves to get his 300th NHL win, and the Montreal Canadiens defeated the Arizona Coyotes 2-1 at Gila River Arena on Thursday.
Price had lost his two previous attempts to become the 35th NHL goalie with 300 wins. Price and Jacques Plante (314) are the only two goalies to accomplish it with the Canadiens. Martin Brodeur of the New Jersey Devils holds the NHL record with 961.
"I'm obviously very proud of that," Price said. "It's been a long road to this point but it's not over yet."
[WATCH: All Canadiens vs. Coyotes highlights]
Price is 300-211-66 in 12 seasons, all with Montreal.
"That was a big milestone for him and not many guys can say they accomplished that," Canadiens forward Max Domi said. "He's the best goalie in the world by far and we're lucky to have him. Super happy for him too."
Video: MTL@ARI: Weber unleashes blast on power play
Paul Byron scored the go-ahead goal in the third period, and Shea Weber scored on the power play for the Canadiens (18-13-5), who had lost two in a row.
Oliver Ekman-Larsson scored, and Darcy Kuemper made 26 saves for the Coyotes (14-18-2), who have scored two goals while losing their last three games and have lost seven of eight.
Byron made it 2-1 at 1:16 off Phillip Danault's backhand pass to the left post. It was Byron's fourth goal in eight games.
"[He] is one of those guys who's always going to give you a great effort. He was at the right place at the right time," Canadiens coach Claude Julien said. "Most of the goals [now] are being scored in front of the net. He was in the right place, Phil wins the battle along the wall, we keep the puck in and we end up scoring a big goal."
Weber scored 22 seconds into the second period to make it 1-0 on a one-timer from the point following Domi's face-off win. Weber's goal was his fifth in 11 games in December and came after Nick Cousins was called for tripping as the first period ended.
Ekman-Larsson tied it at 1-1 on the power play at 6:49 with a wrist shot from the top of the right circle as Christian Fischer screened Price.
"I mean, Carey Price is world class, and he made some great saves," Coyotes coach Rick Tocchet said. "We missed the net a few times when we had people in front, and we have to hit those nets."
Montreal won the second half of a back-to-back after losing to the Colorado Avalanche 2-1 on Wednesday, when Price made 24 saves.
"I thought guys dug in," Weber said. "I thought at times [the Coyotes] were fresher on the back-to-back, but guys found a way. But it wasn't easy."
Julien played Price in back-to-back games after Price played well against the Avalanche.
"I would tell you that Carey has been playing pretty good," Julien said. "When a goaltender is hot, a lot of times you like to ride them."
Neither Domi nor Coyotes forward Alex Galchenyuk had a point. The two were traded for each other June 15 and were playing against their former team for the first time.
Domi took two shots in 18:17 and missed an attempt at an empty-net goal in the final minute. Galchenyuk had two shots in 16:30.
"That was fun. I have so many memories here, and it was emotional," Domi said. "I was here for only three years but it seems like 20."
Video: MTL@ARI: Byron taps puck past Kuemper
They said it
"That was definitely a trying two games with the travel involved but we found a way to do it. The right character showed up tonight. You have to stay focused and stay on the puck when it's in your zone. We found a way to win." -- Canadiens goalie Carey Price on starting back-to-back games
"I was fired up. There were a lot of emotions, but the second the puck drops it's another game. Unfortunately, we didn't get the win." -- Coyotes forward Alex Galchenyuk on playing against his former team
"I thought we defended well. I don't think they had a lot of Grade-A chances. I thought we were pretty good." -- Coyotes coach Rick Tocchet
Need to know
The Canadiens have scored a power-play goal in successive games after going 0-for-25 the previous eight games. Brendan Gallagher scored Wednesday at Colorado. … Canadiens defenseman Jeff Petry has nine points (four goals, five assists) in his past eight games. … Ekman-Larsson has 13 points (five goals, eight assists) in 13 games against the Canadiens. His 47 power-play goals since 2013 are the most among NHL defensemen. … Kuemper is 0-5-1 since last winning Nov. 15 against the Nashville Predators. … Coyotes forward Clayton Keller has a nine-game goal drought.
Canadiens: At the Vegas Golden Knights on Saturday (4 p.m. ET; ATTSN-RM, TSN2, RDS, NHL.TV)
Coyotes: Host the Colorado Avalanche on Saturday (7 p.m. ET; FS-A PLUS, ALT2, NHL.TV)
Video: Price gets 300th career victory in 2-1 win