Minnesota recorded its 27th win, one more than last season and two more than the Wild won in their inaugural campaign of 2000-01.
Special teams were the difference for Minnesota after the teams combined for four goals during a 1:57 span early in the first period.
Cliff Ronning snapped a 2-2 tie with a five-on-three goal 91 seconds into the third period and Antti Laaksonen scored on a breakaway while the Wild were shorthanded to make it 4-2 just under four minutes later.
Laaksonen's tally turned out to be the game-winner as Teemu Selanne pulled the Sharks within a goal with 6:10 left.
Celebrity Families of 2014 [PHOTOS]