Luongo was most active in the first period, blocking 13 shots as the Canucks grabbed a 1-0 lead on Henrik Sedin's power-play goal.
Ryan Kesler and Alex Burrows broke the contest open with second-period goals and Jannik Hansen tallied in the final frame for the second-place Canucks, who pulled to within three points of the Wild in the Northwest Division.
The Wild fell to 0-7-2 in their last nine visits to Vancouver.
Video of Victoria’s Secret models trying to 'twerk' hits Instagram
Susan Sarandon: I was stoned at almost every awards show