The hosts got on the score-sheet when Brayden Point netted the puck in the opening frame. But, the Blue Jackets dominated the match and scored 2 goals in the following periods to make it 2-1 in their favor.
However, the defending champions came from behind in the final period and collected 2 goals to earn their 25th victory of the season and sit at the top of the Central Division.
The Lighting will welcome the Detroit Red Wings on Friday, while the Blue Jackets will go to Philadelphia to play against the Panthers on Saturday.