Victor Hedman broke a 2-2 tie with the winning goal in the third period to put a cap on a game that was charged with playoff intensity between two Atlantic Division rivals.
The goaltending was superb on both sides, with Andrei Vasilevskiy stopping 37 shots and Linus Ullmark finishing with 32 saves.
The Bolts will be back in action on Saturday night when they close out the homestand against the Kings.
Scoring Summary
1st Period
TBL 1, BOS 0
10:42 Brandon Hagel (19) - Nikita Kucherov, Brayden Point - PPG
A Brandon Hagel power play goal gave the Bolts the lead midway through the first period. Hagel went unmarked in front of the Boston net and put a feed from Nikita Kucherov upstairs on Linus Ullmark.
2nd Period
TBL 1, BOS 1
16:58 Brad Marchand (16) - Connor Clifton, Hampus Lindholm
Brad Marchand tied it up for the Bruins with a goal during 4-on-4 play. Marchand ripped a wrist shot from the left circle that beat Andrei Vasilevskiy through an inadvertent Steven Stamkos screen.
3rd Period
TBL 2, BOS 1
0:57 Nikita Kucherov (20) - Steven Stamkos
In the opening minute of the third, Charlie McAvoy got shaken up after slamming into the boards while battling for a loose puck. The refs blew the play dead, and on the ensuing offensive zone faceoff, Stamkos won the draw back to Nikita Kucherov, who quickly one-timed a shot past Ullmark.
TBL 2, BOS 2
2:24 Pavel Zacha (9) - David Krejci, David Pastrnak
The Lightning got caught scrambling following a blocked shot and surrendered the tying goal less than two minutes after going ahead. From the slot, David Krejci worked the puck to Pavel Zacha at the right circle for the goal.
TBL 3, BOS 2
13:19 Victor Hedman (3) - Brayden Point, Nikita Kucherov
Ullmark got tangled up with Brandon Carlo while moving to his right to defend a Lightning 2-on-1. Victor Hedman jumped on the loose puck along the far wall and fired it past the out of position goaltender to give Tampa Bay the lead with less than seven minutes to play in regulation.
