Brayden Point scored and had two assists, and Andrei Vasilevskiy made 20 saves for the Lightning (22-8-5), who had lost three straight.
"It's nice to get a win again," Palat said. "We had a little skid there, three games, but I thought before we played well, but that's going to happen during the season."
Gustav Nyquist scored and had an assist for the Blue Jackets (15-15-1), who have lost four of five and allowed seven goals for the second straight game. Joonas Korpisalo, who cleared COVID-19 protocol Friday, made 29 saves in his first game since Dec. 16.
"I honestly felt pretty good when the game started," he said. "Letting in seven goals, that's embarrassing, the little details, I didn't do too well today."