The Canucks took advantage of a penalty-prone Chicago squad, scoring five of their six goals on power plays.
Daniel Sedin contributed a goal and two assists. David Booth scored his first goal as a Canuck and added an assist for the Canucks, who avoided a third straight loss in a rematch of last year's Western Conference first-round series. Jannik Hansen and Aaron Rome also scored.
Roberto Luongo turned aside 38-of-40 Chicago shots to earn the victory.
Corey Crawford yielded all six goals on 38 shots for the Central Division-leading Blackhawks, who fell to 8-3-3 to start the season.
Michael Frolik and Marcus Kruger found the net for Chicago.