"I like the first and the third," Blues coach Craig Berube said. "I didn't like the second. We turned pucks over too much in the neutral zone."
Jake Neighbours cut it to 4-2 at 1:11 of the third period, and Pavel Buchnevich made it 4-3 when he redirected Nick Leddy's shot at 7:51.
Jonas Brodin scored an empty-net goal at 18:07 for the 5-3 final.
"We've talked about it pretty much all year, that different people have stepped up," Wild coach Dean Evason said. "The commitment was real good. Obviously, do we want to give up a lead like that? No. There's some stuff to work on like I said, but we enjoyed our commitment tonight."
NOTES: Minnesota forward Kirill Kaprizov had three shots on goal in 20:26 of ice time after missing 13 games because of a lower-body injury. … It was the two fastest short-handed goals since Steve Begin and Blake Wheeler scored 15 seconds apart for the Boston Bruins on April 10, 2010. Hartman became the 13th player since 1933-34 to get two short-handed points in 20 seconds or less, and the first to do so since Peter Forsberg (11 seconds on Dec. 3, 1995, with the Colorado Avalanche). … St. Louis forward Robert Thomas played 18:12 and won nine of 18 face-offs after missing five games with an upper-body injury.