The Red Wings took control of the game after Kronwall scored on his own rebound at 10:12 of the middle stanza and Helm struck only 14 seconds later, firing a wrist shot past Steve Mason for a 3-2 lead.
Detroit also got goals from Valtteri Filppula and Danny Cleary. Jimmy Howard turned aside 27 shots as the Wings completed a home-and-home sweep of the Blue Jackets.
Columbus got goals from Derick Brassard and Antoine Vermette. Mason stopped 38 shots in the Blue Jackets' loss.