The victory sets the stage for a decisive Game 7 on Wednesday at United Center with a berth in the Western Conference final on the line.
The Wings had a chance to close out the series, but three goals by the Blackhawks in the third period was a hole too deep to dig out of despite a furious fightback in the final minute.
Chicago captain Jonathan Toews was delighted with the performance and credited his team’s unwavering belief for the big victory.
“It was pure confidence,” he said. “Our heads were just in the right spot. We knew what we had to do and we weren’t panicking.”
“We’re finding ways, we’re doing the right things to score goals and we’re confident when we get those chances that they’re going to go in somehow.”
The visitors flew out of the gates and were rewarded for their ambition when Marion Hossa pounced on a loose puck in the crease to beat Jimmy Howard 3:53 into the first period.
Detroit tied things up when Patrick Eaves scored late in the opening frame to give the home side all the momentum heading into the intermission.
The Wings then took a 2-1 lead thanks to a goal from Joakim Andersson midway through the second period and the conference final seemed within reach.
The Blackhawks had other plans, however, and stormed back with goals from Michal Handzus, Bryan Bickell, and Michael Frolik to take a comfortable 4-2 lead with 10 minutes remaining.
Damien Brunner scored for the home team with less than a minute left to set up a tense finish for the Blackhawks.
The Chicago Blackhawks held on in the final seconds to set up a winner-take-all clash against the Detroit Red Wings on Wednesday at United Center.