GLENDALE, Ariz. -- The Phoenix Coyotes were on their heels after building a two-goal lead, spending most of the second period in their own zone.
After losing a two-goal lead four days earlier, the last thing they wanted was to do it again, particularly this late in the season and against a team they've struggled against.
Instead of folding, the Coyotes fought back, earning a crucial victory before they head off on a four-game road trip.
"We talked about coming out like we did in the first and I think we did a pretty good job in the third," said Coyotes defenseman Oliver Ekman-Larsson, who had a goal and an assist. "It wasn't great, but we got two points."
With the Canadiens coming off a six-round shootout the night before, the Coyotes want to jump on them early and did just that. Vrbata scored 2:08 in, Lauri Korpikoski had his first goal in 19 games and Ekman-Larsson also scored for his 100th career point to put Phoenix up 3-1.
The Canadiens picked up the pressure and the Coyotes spent most of the second period chasing, getting off one shot while serving a string of penalties. Alex Galchenyuk scored midway through the period on a two-man advantage, cutting the Coyotes' lead to 3-2.
But after blowing a two-goal lead against St. Louis on Sunday, Phoenix stiffened.
Vrbata made it a two-goal lead in the third period and Keith Yandle scored less than 2 minutes later to put it out of reach, giving Phoenix its first winning streak since Jan. 16-18.
"These are desperate points for us before we go on the road," Coyotes coach Dave Tippett said. "We needed this one badly."
The Canadiens came out flat after beating the NHL-leading Anaheim Ducks in the extended shootout the night before, allowing the Coyotes to dictate play.
Montreal dominated the second period, leading to a series of penalties by the Coyotes, but couldn't sustain it in the third when Phoenix picked up the pressure.
"We started the game like a team who played last night and traveled and came here at 3 o'clock in the morning," Montreal coach Michel Therrien. "Before we got going, we were in trouble, so we had to play catch up hockey and it's never the solution to win hockey games."
Montreal also added a big reinforcement, picking up high-scoring forward Thomas Vanek in a deal that sent a prospect and a draft pick to the New York Islanders.
Markov tied it later in the period on a slap shot from the left circle that bounced off the post and out of the net so quickly the officials didn't count it until after reviewing it about a minute later.
Korpikoski put Phoenix back on top late in the period on another redirect, this one on a shot by Michael Stone for his first goal since Jan. 11. Ekman-Larsson put the Coyotes up 3-1 with 8.5 seconds left, beating Budaj on a wrister after a pass by Ribeiro from behind the goal.
"I think sometimes it's travel, but that's not an excuse," Budaj said of Montreal's slow start. "It's not an excuse; you've got to be ready and I don't think we were ready right off the hop."
The Canadiens fought back in the second period, spent most of the period in Phoenix's end, leading to a series of penalties, including a long 5-on-3 that led to Galchenyuk's on a redirect.
But, after going more than 21 minutes without a shot, the Coyotes took control back, getting goals by Vrbata and a redirect by Doan to remain ninth in the Western Conference standings.
Hanzal missed his second successive game with an upper-body injury. ... Montreal concludes its four-game Western road swing in San Jose on Saturday. ... A slashing call against Ribeiro early in the second period was the Coyotes first penalty in nearly 90 minutes. ... Montreal had a goal by Brendan Gallagher waved off in the second period when David Desharnais was called for being in the crease.