The goal was his fifth of the season, and Burns became the fourth defenseman in NHL history to record at least five goals in a season at age 40 or older.
Martin Necas and Parker Kelly also scored, and Josh Manson had two assists for the Avalanche (25-2-7), who are 14-0-2 on home ice and have extended their point streak to seven games (6-0-1). Scott Wedgewood made 20 saves.
Morgan Barron and Mark Scheifele each scored a goal, and Connor Hellebuyck made 23 saves for the Jets (15-17-2), who have lost three straight and are 1-5-1 in their past seven games.
Burns scored when his wrist shot from above the right circle caromed off the left skate of Winnipeg defenseman Haydn Fleury and past the right leg of Hellebuyck to make it 1-0 at 9:45 of the first period.
Necas extended it to 2-0 at 15:05 when he beat Winnipeg forward Cole Perfetti in a foot race before finishing MacKinnon’s centering pass past Hellebuyck’s glove with a wrist shot from between the hashes.
Barron scored a short-handed goal at 19:22 of the second period to cut it to 2-1. He beat Colorado defenseman Cale Makar to a clear off the glass at the left wall of Colorado’s zone, cut through the left dot toward the crease, and went forehand to backhand past Wedgewood’s glove while skating by the crease.
The goal was his second short-handed goal of the season.
Kelly deflected Manson’s shot through his own legs and under Hellebuyck to make it 3-1 at 1:58 of the third period.
Scheifele cut it to 3-2 with a power-play goal at 3:38. After winning it off the draw at the left face-off circle in the Jets offensive zone, Scheifele got the puck to Josh Morrissey, who then found Gustav Nyquist at the point.
Scheifele moved to the right side of the crease and shoveled Nyquist’s feed inside the post.