With the game tied 1-1, the Stars were skating 5-on-3 when Sergei Zubov set up Lehtinen for his ninth goal of the season and 199th of his career at 7:02 of the third.
Another Nashville penalty resulted in another two-man advantage for Dallas. Miettinen, scoreless in his previous 10 games, struck 32 seconds after Lehtinen, collecting his eighth of the season from close range to give Dallas a 3-1 edge.
Marty Turco made 19 saves, and Patrik Stefan added an empty-net goal with 36 seconds left for the Stars, who've won five of their last seven games.
Scott Hartnell got the Nashville goal and Chris Mason stopped 27 shots for the Predators, 7-1 in their previous eight games.
Nashville is 2-14 in Dallas.
Friday night marked the Texas return of Predators centre Jason Arnott, who played the previous three-plus seasons for the Stars. Arnott, signed by Nashville as a free agent in the off-season, was injured and did not skate in the teams' only other meeting this season on Nov. 22, a 1-0 Dallas victory.
Arnott had three goals in his previous three games for the Predators, but went scoreless against his former team.
The Stars are without left wing and captain Brenden Morrow(severed tendons in his right wrist), centre Eric Lindros (upper body injury), left wing Steve Ott (ankle) and their offensive catalyst, centre Mike Modano (hip flexor/groin injury), who missed his 12th straight game. Dallas is 7-5 since Modano's injury.
Out for the Predators were goalie Tomas Vokoun (thumb), centres Scott Nichol (suspended) and Vernon Fiddler (shoulder) and right wing Scottie Upshall (groin).
Dallas held a 10-4 shots advantage in the opening 20 minutes but Nashville carried a 1-0 lead into the break.
Hartnell converted Alexander Radulov's lead pass at 4:51 of the opening period, Hartnell's 15th goal of the season.
Miettinen's power-play rebound at 5:29 of the second period tied it 1-1.
The Stars had an apparent rebound goal by Miettinen disallowed with 1:41 left in the second period when the officials blew the whistle after losing sight of the puck.
Notes: Dallas has had three power-play goals in each of the last two games. ... Vokoun and Fidder are close to returning to action. ... Modano is still a few days away from skating full speed at practice. ... Morrow is out for at least two months after having his wrist run over by a skate blade in a game on Tuesday night at Chicago. ... Stars RW Matthew Barnaby was a healthy scratch. ... Hartnell had a goal disallowed with 8:15 left when replays showed that he threw the puck into the net.