Roberto Luongo and Corey Schneider combined to stop 33 shots for the shutout and the Canucks' seventh win in their last eight tries. Luongo departed after being hit in the neck by a slap shot off the stick of Matt Duchene.
Semyon Varlamov gave up all six goals on 21 shots for Colorado, who had their three-game winning streak snuffed out. He was lifted for Jean-Sebastian Giguere in the third period.
Vancouver scored four times in the third period, when the two teams combined for 14 penalties.
Celebrity Families of 2014 [PHOTOS]