Benson made it 6-2 at 15:58 when he jammed in a loose puck in the crease, but Zuccarello beat Koskinen glove side on a breakaway to make it 7-2 at 5:36 of the third period.
Zach Hyman scored at 18:54 for the 7-3 final.
"We were on the right side of the puck all night, in all three zones, but especially in the D-zone," Minnesota coach Dean Evason said. "We really took care of being between the net and the players, and nobody really got behind us. We were very mindful of where everybody was on the ice, and it led to offense. We don't feel we're an offensive team, we feel we're a well-rounded, two-way hockey team. We don't want to get into track meets, we don't want to get into a rush game, that's not who we are. We talk about it all the time, it's grit before skill, and if we do that, then our skill will show. If we try to do it the other way, then the skill doesn't come out."
Wild forward Nick Bjugstad had two assists and was plus-3 in 11:16 of ice time in his return after missing 15 games because of a broken finger.