For the third consecutive game, the Rangers went beyond the 60-minute limit.
They lost, 4-3, in the shootout to the Blues on Monday. They fell, 1-0, in the shootout to the Jets on Saturday.
But on Wednesday, at 1:50 of overtime, the Rangers pulled one out on a power play, as the puck trickled off a diving Jonas Gustavsson's glove and was put in by Derick Brassard for a 4-3 win over the Red Wings.
Forty-six seconds into overtime, the Rangers went on the power play when Detroit's Pavel Datsyuk was whistled for tripping.
In the third, with the Rangers up 3-2 after Lee Stempniak buried a wrister on a 2-on-1 with Dominic Moore at 12:10, Red Wings coach Mike Babcock took a late risk that worked.
He pulled Gustavsson with 2:50 to play, and on a 5-on-3 with Marc Staal in the penalty box for holding Datsyuk's stick in a scrum, Tomas Tatar scored with 7.7 left in regulation.
Martin St. Louis had been called for a hook with 1:48 left, but Justin Abdelkader also went off for embellishing, and Detroit still had a 5-on-4 advantage with the empty net. Then, during a mad scramble with 30 seconds to go, Staal was sent off.
Henrik Lundqvist, who stopped a penalty shot but also allowed a softie that tied the game in the second, finished with 25 saves as the Blueshirts moved to 6-4-2. Detroit dropped to 6-3-4.
Tied at 2, the Rangers had to kill all but 24 seconds of St. Louis' late second-period hook to open the third period. Lundqvist fought off a couple shots, and then another by Darren Helm with about five minutes gone. At the other end, Gustavsson stopped Staal's wrister off a drop pass by Brassard on a rush.
With about eight minutes gone, a quick 2-on-1 just missed connecting when St. Louis' pass from the right side just missed Rick Nash in front.
At 9:34, Carl Hagelin avoided a four-minute high-sticking infraction -- it would have been the Rangers' sixth penalty -- when his blade caught Danny Dekeyser in the nose and left him bleeding. But none of the officials saw the infraction because it occurred behind the play.
In the second period, Lundqvist preserved a 1-0 lead by stopping a penalty shot from Gustav Nyquist at 5:51, knocking the shot down with his glove after it was ruled that Kevin Klein covered the puck in the crease.
Matt Hunwick's pass sprung St. Louis, who beat Gustavsson low on a breakaway for a 2-0 lead at 6:39. After scoring just once in 10 games, St. Louis has scored three in the last two. It was Hunwick's second assist of the game and Michael Kostka's first point as a Ranger.
At that point, the Rangers appeared to have the game in hand, but the Wings scored twice in 16 seconds.
With defenseman Conor Allen off for tripping, the Rangers had killed off all but the final seconds of the penalty, but Jakub Kindl fired a loose puck past Lundqvist at 12:02. It ended his shutout streak against Detroit at 211:08.
Lundqvist then allowed an unassisted softie, when Dan Cleary's flipped shot from the wall squeezed between the post and his right arm. Play was halted for a review, which clearly indicted a goal.
Gustavsson then somehow kept Nash from scoring on a point-blank rebound at 18:41. On his back, Gustavsson flung out his arm and caught the wrister.
For the first time this season, the Rangers scored power-play goals in consecutive games. With Henrik Zetterberg in the box for tripping at 5:23, the power play clicked. Hunwick fed Brassard from the blue line, and Brassard's slapper from the left circle deflected off Nash's backside and past Gustavsson at 6:36.
It was the 10th goal of the season for Nash and gave him points in nine of 12 games. He also led all skaters with four shots in the period.