Burrows' goal 11:14 into the third period came after contact between teammate Ryan Kesler and Atlanta's Eric Perrin in front of the goal that led to Perrin's stick apparently knocking goalie Kari Lehtonen off his feet. Lehtonen was sitting on his backside in front of the net and was unable to defend Burrows' shot.
Daniel Sedin scored on a power play for Vancouver early in the third period after a second-period goal by Pascal Dupuis gave the Thrashers a 1-0 lead.
The Canucks had been 1-19-1 this season when trailing after two periods.
Vancouver ended a streak of four straight losses by one goal, including three on its road trip to Tampa Bay, Florida and Dallas.
Roberto Luongo stopped 26 shots for Vancouver.
Dupuis scored 7:58 into the second period after Luongo stopped Tobias Enstrom's shot from the left circle. The deflection off Luongo's pads set up the follow shot by Dupuis for the 1-0 lead.
Sedin's tip-in goal 6:32 into the third period tied the game at 1-1. Sedin deflected a long shot by Mattias Ohlund from beyond the left circle.
Vancouver Canucks' Jason Jaffray, right, tries to disrupt Atlanta Thrashers Pascal Dupuis' breakaway during the first period of the Canucks' win at Philips Arena on Thursday in Atlanta. / photo: Associated Press
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