Roope Hintz then gave the Stars a 2-1 lead with a power-play goal 13 seconds into the second period. He split two defenders before beating Annunen through the five-hole from low in the left circle.
Hague made it 2-2 at 4:43, scoring on a wrist shot from the left point with bodies again in front of Oettinger.
Filip Forsberg gave the Predators a 3-2 lead 27 seconds later. He scored at 5:10 with a wrist shot from the slot off a pass from behind the net by O’Reilly.
“I didn’t think there was a dip in our game,” Stars coach Glen Gulutzan said. “The goals went in, but our game didn’t dip. And that was a big moving-forward point from me on this because these games are going to get wild. You’ve got bounces either way. They got a couple of good bounces, but I thought we played a good game.”
Justin Hryckowian tied it 3-3 at 2:20 of the third, lifting his own rebound into an open net, before Stamkos gave Nashville a 4-3 lead on the power play at 5:11. He scored with a one-timer from the left dot.
“It was an unbelievable shot,” Predators coach Andrew Brunette said of Stamkos’ goal. “It’s a ridiculous shot. We’ve got to continue to work to try to find ways to get him the puck a little bit more.”
NOTES: Stamkos scored his 24th career go-ahead, third-period goal. The only active players with as many are Alex Ovechkin of the Washington Capitals (31) and Chris Kreider of the Anaheim Ducks (25). … Blankenburg has six points (one goal, five assists) in a career-high five-game point streak. … O’Reilly won 17 of 26 face-offs (65 percent). … Hague’s goal was his first in nine games with the Predators since he was traded from the Vegas Golden Knights on June 30. … Hintz has two goals in two games after missing the previous five with an undisclosed injury.