Justin Fontaine got the tying goal midway through the second period and Josh Harding made 27 saves for Minnesota, which won for the seventh time in nine games.
Jiri Tlusty and
Ryan Murphy scored for the Hurricanes, who had won two straight. Justin Peters stopped 28 shots.
Carolina was 0 for 3 on the power play, while Minnesota finished 0 of 4.
Neither team had enjoyed any success in shootouts this season. Minnesota lost its three previous shootouts, including in its last game at Washington. Carolina's record in shootouts fell to 0-3.
Pominville opened the scoring 3:33 into the first period on a breakaway for his 200th NHL goal.
The Hurricanes responded 1:20 later when Murphy, a second-year defenseman, took a shot from the right point that Harding couldn't stop.
Tlusty made up for a pair of penalties he took in the first period by scoring his third goal of the season. He slipped a shot underneath Harding's pads as he skated through the slot at 7:14 of the second period.