Guerin scored his 11th and 12th goals
"I find myself skating more and getting in the game more," Guerin said. "Without a doubt, I had a lot of good years in New Jersey when I played more or less defensive hockey, and I won a Stanley Cup there and I learned a lot. Right now though, I'm having a lot of fun playing hockey in Edmonton."
Rem Murray also scored a pair of goals for the Oilers. Patrick Poulin had the lone goal for the Canadiens.
Guerin's first goal came 53 seconds after Murray broke a 1-1 tie by scoring his second goal early in the third period. Boyd Devereaux delivered a cross-ice pass to Guerin, who skated around defenseman Patrice Brisebois and beat goaltender Jose Theodore between the legs at 1:55 to make it 3-1 for Edmonton.
Guerin made it a three-goal lead on the power play less than four minutes later. Boris Mironov, showing why he's one of the league's top offensive defenseman, kept the puck inside the blue line and delivered a pass to Guerin in front of the net. Guerin skated across the slot and around Theodore before putting the puck into an open net.
"I'm definitely not kidding myself," Guerin said when asked about his goal production. "We're only 16 games into the season. It's still pretty early."
Murray erased a 1-0 deficit early in thsecond after beating Benoit Brunet on a faceoff inside the Montreal zone. Murray raced towards the net after Janne Niinimaa's point shot and scored into a wide-open net after Theodore gave up a rebound.
"That's what this team is all about, is working hard and hustling," Murray said. "If we play our game I think we can wear teams down because we're in pretty good shape. We have a lot of great skaters on this team."
Murray's goal came after Montreal dominated the first period, outshooting Edmonton 16-7. Poulin had given the Canadiens the lead after taking a drop pass from Turner Stevenson and beating Oilers goalie Mikhail Shtalenkov at 9:01 of the first.
"I think Shtalenkov was a big difference in tonight's game," Edmonton coach Ron Lowe said. "They had a power play early in the period and he made some big stops there. He kept us in the game. We were lucky to be only down by a goal after the first period."
The Canadiens have lost three in a row and have scored only one goal in that stretch while giving up 11.
"It's the same pattern pretty much in the three losses," Montreal captain Vincent Damphousse said. "We start really well, but I think our offense is pressing for some chances. When they made it 1-1, I think we knew that the offense wasn't coming easy so we tried to open it up even more and that cost us at the beginning of the third."
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