Minnesota extended its unbeaten streak to a team-record nine games. The Wild has recorded ties in each of its last 10 overtime games and has gone unbeaten in its last 20 overtime contests.
York knotted the game a second time with 2:17 left in regulation as he emerged from a scramble in front and shoveled the puck past Wild goaltender Manny Fernandez.
Radek Dvorak set up York's first goal, a wrist shot from the slot at 13:46 of the opening period. Dvorak also picked up an assist on the second goal.
Defenseman Nick Schultz snapped a 65-game goalless streak with 96 seconds to go in the second period, giving the Wild a 2-1 lead, but Minnesota managed just one other shot over the final 25 minutes of the game.
Fernandez finished with 38 saves as the Wild improved to 4