The Avalanche trailed 2-1 after two periods but collected the equalizer 7:13 into the final period when Stastny's centering pass was deflected into the high slot and Jan Hejda blasted it past Jets goalie Al Montoya.
Less than 8 minutes later, Stastny one-timed a pass across the crease from Gabriel Landeskog into the net, and the Central Division-leading Avs improved to 10-1-0 on the season with a fourth straight win.
Montoya finished with 33 saves.
Beyonce flaunts bikini body, Blue Ivy in vacation pics
Jordana Brewster on Paul Walker: 'He was an enormous presence in my life'