Jaroslav Halak blocked 33 shots for the Blues, who have won five straight and nine of their last 10.
Mark Letestu scored the only goal for the Blue Jackets, who lost both ends of a home-and-home series after a four-game winning streak.
Columbus goalie Curtis Sanford gave up both goals on 26 shots to take the loss.
Ohio crash that killed two caught on camera [VIDEO]
Video of Victoria’s Secret models trying to 'twerk' hits Instagram