Bobrovsky improved to 11-2-0 in his last 13 starts, posting a 2.04 goals against average and a .934 save percentage over the span.
Boone Jenner and Ryan Johansen each provided a goal and an assist as the Blue Jackets notched a second straight win.
Brad Boyes got the only goal for Florida, losers of three straight.
Tim Thomas stopped 26-of-30 shots.
2014 amfAR Inspiration Gala [PHOTOS]
Julius Randle breaks leg during NBA debut