Sonny Milano scored on a breakaway with 31 seconds left in overtime as the Blue Jackets beat the Hurricanes 2-1 at PNC Arena.
Milano also scored the other Columbus goal midway through the third period.
Sergei Bobrovsky logged 37 saves for the winners.
Jeff Skinner tied it with 1:25 remaining in regulation after Carolina pulled its goalie.
Scott Darling rejected 25 Blue Jackets shots in defeat.
The Hurricanes failed to score on a power play in overtime.