Gabriel Landeskog started the scoring and also provided an assist when Colorado in front of the home crowd in Denver entered pucks in the first period.
The team has not played in the Stanley Cup final since 2001, when they did take home the dent.
The home team led 3-1 in the first break.
In the second period, the reigning champions Tampa Bay came back and managed to equalize with two goals in just 48 seconds.
But that was the end of the goal.
The third period was completely without meetings and the meeting was extended.
After just under a minute and a half, however, André Burakovsky arrived and decided.
The match ended 4-3 to Colorado.
The match hero took the opportunity to pay tribute to the home crowd in the winning interview from the ice after the final whistle.
- Our fans are absolutely incredible.
They have been throughout the season.
This is absolutely fantastic, a dream since I was a small child, said Burakovsky.
Victor Hedman, whose Tampa is trying on the feat to take home the Stanley Cup trophy for the third year in a row, is listed for an assist.
- There were some glimmers of light for us in this match, says Tampa Bay coach Jon Cooper.
- But it was the right team that won, as they should have the honor of having managed it, he continues.
The teams meet next night towards Sunday, Swedish time, also then in Colorado before it is time for two games in Florida next week.
The final is played in the best of seven matches.
CLIP: Three questions: Håkan Loob about the Stanley Cup final (June 15, 2022)
Javascript is disabled
Javascript must be turned on to play video
Read more about browser support
Swedes Victor Hedman and Gabriel Landeskog meet in the Stanley Cup final.
Photo: Bildbyrån