The Lightning completed a sweep of the weekend back-to-back with a 2-1 victory over the Red Wings on Sunday night.
After a scoreless first period, the teams split a pair of goals in the second frame.
Ondrej Palat got the Lightning on the board just over four minutes into the period, deflecting a Kevin Shattenkirk point shot past Jonathan Bernier.
Detroit also scored on a deflection to tie the game at one late in the period. Robby Fabbri got a piece of a shot from Filip Hronek and guided the puck through Curtis McElhinney's pads to even the score.
Video: DET@TBL: McElhinney shuts the door on Glendening
The Lightning took the lead for good early in the third period on a power play goal. For the longest time it appeared like Point would pass but at the last second he fired a shot over Bernier's shoulder from a tough angle.
The win was Tampa Bay's third-straight overall and extended their winning streak over Detroit to 16 games.
McElhinney got the start for Tampa Bay in the second half of the back-to-back and was sharp for most of the night. McElhinney didn't face a ton of pressure, making only 19 saves on 20 shots but came up with three saves on Detroit breakaways.
The Bolts now hit the road for a four-game road trip that begins on Tuesday night in Buffalo against the Sabres.
TBL | 4:10 Ondrej Palat (11) - Kevin Shattenkirk
DET | 17:54 Robby Fabbri (10) - Filip Hronek, Andreas Athanasiou
TBL | 5:33 Brayden Point (15) - Victor Hedman, Steven Stamkos - PPG