Ryan McDonagh scored for the Lightning (52-13-4), who have won 13 of their past 15 games and lead the Boston Bruins by 15 points for first place in the Eastern Conference. Louis Domingue made 22 saves and is 12-1-0 in his past 13 starts.
Thomas Vanek and Anthony Mantha scored, and Jonathan Bernier made 30 saves for the Red Wings (24-34-10), who are 1-6-3 in their past ten games.
Detroit has lost 14 consecutive regular-season games (0-12-2) to Tampa Bay, with its last win coming Nov. 3, 2015.
"It's really frustrating," Mantha said. "I think it started, when did it start? … It's pretty much the whole time I've been here.
"I mean it [stinks] that we can't win against these guys. I don't know what it is. I mean, [Bernier] played an unbelievable game tonight. He probably saved four or five goals against and we couldn't build anything offensively and didn't grind in their zone like we wanted to, and it's just the opposite that happened."
McDonagh gave Tampa Bay a 1-0 lead at 3:06 of the first period, scoring on a shot from the point through traffic.
"We kept the chances against low and found a way to create some offense in the zone, off the rush and a lot of different fashions," McDonagh said. "We'll get rewarded if we keep up with those looks and keep playing that same way."