Maxim Lapierre, Jaden Schwartz, Vladimir Sobotka and Alex Pietrangelo also scored for the Blues, who ran their home-ice record to 17-3-2 and won a fifth straight overall.
Brian Elliott was solid in goal, turning away 22-of-24 shots.
Mark Letestu and Artem Anisimov got the Blue Jackets' goals.
Curtis McElhinney made 31 saves.
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