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.
N.J. man wakes up from 10-hour sleep with knife in back
Police: Sword-wielding man demanded free tacos