Ondrej Palat had a goal and two assists and Point had three assists for the Lightning (32-14-2), who swept the two-game set. Andrei Vasilevskiy made 19 saves.
Eric Robinson scored twice for the Blue Jackets (15-25-10), who have lost nine in a row. Joonas Korpisalo made 23 saves but left in the third period because of a lower-body injury. Elvis Merzlikins made seven saves in relief.
"It's good to be doing the right things and make sure you're playing the right way," Robinson said. "But it's hard when you're not getting the result to keep sticking with it. I thought we've done a good job the past few games of sticking with it during tough times. I think if we keep going with it, we'll see a [positive] result soon."
Tampa Bay is third in the eight-team Discover Central Division but moved within one point of the second-place Florida Panthers and two of the Carolina Hurricanes. The top four teams will qualify for the Stanley Cup Playoffs.
"For the most part, our game hasn't been too bad," Lightning coach Jon Cooper said. "I like the way the guys are working. We just want to finish strong. First of all, we've got to get in [to the playoffs]. We're inching closer."
Robinson's second goal of the game gave the Blue Jackets a 3-2 lead 55 seconds into the third period when he knocked in a rebound off a blocked shot.
Alex Barré-Boulet tied it 3-3 on the power-play at 2:41 of the third period with his first NHL goal, a one-timer off a cross-ice pass from Palat.
It was Barre-Boulet's eighth NHL game.
"It was a great play by 'Pally'" Barre-Boulet said. "I was wide open on the other side on the power play. I had an empty net, I just had to put it in.
"I missed a couple before tonight, but it was good to have it tonight. It's out of the way now so I don't have to think about it."