Vancouver (33-10-9) has the league's best record for the first time since January 2004.
"We've been on a good roll the last couple of months," Luongo said. "When you have the confidence that you can play hard and play well things fall into place."
The Coyotes, who have lost four of five, have allowed 11 straight goals since taking a 3-0 lead midway through the second period Tuesday at San Jose in a 5-3 loss.
"You'd think after getting our butt kicked last night that we'd jump back in a little stronger," Coyotes coach Dave Tippett said. "If you want to call it hangover, those are your words, not mine, but we have some things to straighten out."
Vancouver took advantage of repeated sloppy play by Phoenix to score against Ilya Bryzgalov.
The Canucks took a 1-0 lead 3:46 in when Daniel Sedin intercepted a clearing attempt by Scottie Upshall, turned toward the net, and fired a shot that was redirected in by Burrows, who was standing alone at the top of the crease.
Hansen made it 2-0 at 1:38 of the second when he skated in and wristed home a long rebound from between the bottom of the circles as both Coyotes defensemen stood watching.
Hodgson, playing in his second career game, recorded his first goal at 12:06 with a wrist shot from the right circle after he carried the puck the width of the ice.
The Canucks made it 4-0 at 6:41 of the third when Mikael Samuelsson stole a drop pass from Shane Doan and passed to a streaking Kesler for a 2-on-1 break with Mason Raymond. Kesler deked Adrian Aucoin to the ice in the circle and fired a wrist shot just under the crossbar.
"I was kind of (angry) about a couple of things on the ice so I thought I'd pull that move off," Kesler said. "I don't want to get fined so I better not say anything else."
Raymond scored at 11:37 and ended the night for Bryzgalov, who allowed five goals on 31 shots.
Kesler netted his 30th with an unassisted effort at 17:32 off another Coyotes giveaway, this one by Keith Yandle.
"We have to get back to reality and realize how hard it is to win in this league," Tippett said before abruptly ending his news conference. "After we do that we'll be fine."
Phoenix was without D Ed Jovanovski, who is day-to-day with an undisclosed upper body injury. ... Since the Coyotes beat the Canucks 3-2 in the teams' previous meeting on Nov. 21, Vancouver has gone 23-3-6. ... Phoenix D Keith Yandle's 10-game point streak ended.
Copyright by STATS LLC and The Associated Press
Arena: Gila River Arena Location: Glendale, Arizona
Referees: Bill McCreary, Francois St. Laurent Linesmen: Scott Driscoll, Dan Schachte
Attendance: 13,157 (76.8% full)
Team Stat Comparison
Power Play Goals
Power Play Opportunities
Shots on Goal
Alex Burrows (13)
Assist: Daniel Sedin
Jannik Hansen (6)
Assists: Lee Sweatt, Mason Raymond
Cody Hodgson (1)
Assists: Jeff Tambellini, Dan Hamhuis