"We just kept turning the puck over and that's the reason things went the way they did," Red Wings defenseman Niklas Kronwall said.
Detroit had 13 giveaways and the Canucks only three.
"Bottom line, we were not nearly as good as we should have been," Detroit coach Mike Babcock said. "We spent too much time in our zone."
Burrows knocked in his own rebound off the backboards from the bottom of the left circle for his third goal.
"I just wanted to get off a shot on net and it went wide," he said. "And I just went after it and I got through the defenseman (Brett Lebda) and I just wanted to get a quick shot off. I think I surprised Chris Osgood, I think it went under his arm."
Raymond tied the score at 3 at 2:23 of the third period when put in a rebound.
"I think everybody was excited to be playing against the Stanley Cup champs," Vancouver coach Alain Vigneault said. "Even though they were down by a goal after two, I though we were outplaying them."
Detroit scored twice in the second period to take a 3-2 lead. Rafalski's power-play goal at 3:42 tied it. He beat Luongo with a one-time shot from the right circle.
Cleary gave the Red Wings the lead with 8:53 left in the middle period when he scored on the rebound after Luongo stopped him on a breakaway. Cleary, who had just stepped out of the penalty box, took a pass from Datsyuk.
Hansen opened the scoring for the Canucks when he put in Burrows' carom off the backboards 5:08 into the game. Holmstrom's power-play goal tied it at 6:55. His tip-in wasn't ruled a goal until Rafalski got an interference penalty 8 seconds later. Replays showed that Holmstrom deflected Datsyuk's shot off the middle back post of the net and not the crossbar for his fourth goal.
Kesler's second goal restored the Canucks' lead. He tipped in a shot from the point with 9:23 left in the opening period.
Detroit C Henrik Zetterberg didn't play because of a sore groin. Darren Helm was recalled from the Red Wings' AHL affiliate in Grand Rapids to replace him. G Jimmy Howard was removed from the injured list and assigned to Grand Rapids. ... Kesler is from the Detroit suburb of Livonia. ... Detroit D Brad Stuart was helped off the ice with a little bit more than 7 minutes left in the third period after taking a shot by Vancouver's Sami Salo off his left knee. He'll be re-evaluated on Friday.
Copyright by STATS LLC and The Associated Press
Arena: Joe Louis Arena Location: Detroit, Michigan
Referees: Don Koharski, Dean Morton Linesmen: Scott Cherrey, Derek Nansen
Attendance: 19,011 (94.7% full)
Team Stat Comparison
Power Play Goals
Power Play Opportunities
Shots on Goal
Jannik Hansen (1)
Assist: Alex Burrows
Tomas Holmstrom (4)
(Power Play) Assists: Pavel Datsyuk, Nicklas Lidstrom
Ryan Kesler (2)
Assists: Shane O'Brien, Sami Salo
Brian Rafalski (1)
(Power Play) Assists: Nicklas Lidstrom, Marian Hossa
Daniel Cleary (1)
Assist: Pavel Datsyuk
Mason Raymond (1)
Assists: Willie Mitchell, Pavol Demitra
Alex Burrows (3)
Assists: Alexander Edler, Willie Mitchell