Dallas leads the best-of-7 series 2-1, with Game 4 here on Tuesday (8:00 p.m. ET; ESPN, SN, TVAS, CBC).
Rantanen has 17 points (nine goals, eight assists) in his past six games. He leads the Stanley Cup Playoffs with nine goals and has factored on 15 of the Stars’ past 17 goals.
Thomas Harley and Roope Hintz each had a goal and an assist and Sam Steel and Mikael Granlund each had two assists for Dallas, who are the No. 2 seed from the Central Division. Jake Oettinger made 22 saves.
Kyle Connor and Nino Niederreiter each scored for Winnipeg, who are the No. 1 seed from the Central. Connor Hellebuyck made 21 saves.
Alexander Petrovic scored his second career postseason goal and first in nine years to give Dallas a 3-2 lead at 3:51 of the third period when his shot from below the right face-off circle bounced in off of Hellebuyck’s stick.
The goal was upheld after video review initiated by the NHL Situation Room determined that Hellebuyck propelled the puck into his own net, not a distinct kicking motion by Petrovic.
Rantanen made it 4-2 at 4:40 on a shot from the bottom of the right face-off circle.
Wyatt Johnston scored for the 5-2 final at 14:06 when he put in his own rebound on a shot from the slot.
Hintz scored on the power play at 2:27 in the first period to give Dallas a 1-0 lead when he deflected a Rantanen pass in the slot.
Connor tied it 1-1 at 9:53 on a wraparound that slid beneath Oettinger’s outstretched glove hand.
Harley gave Dallas a 2-1 lead at 15:12 on a point shot from the high slot. Dallas had an extra attacker on the ice because of a delayed tripping penalty by Niederreiter on Granlund behind his own net.
Niederreiter tied it 2-2 at 10:07 in the second period on a sharp-angle shot from the goal line.