Duchene was the only player with more than one goal in the high-scoring affair but 23 players had at least one point. Duchene's other goal came late in the second period to forge a 3-3 tie.
Ryan O'Reilly forced overtime with his fourth goal of the season, coming with 3:13 remaining in regulation.
Colorado won its fifth straight, the Avalanche's longest winning streak of the season.
Craig Anderson got the victory with 24 saves. Brian Elliott gave up all six goals on 25 shots.
Celebrity Couples of 2014 [PHOTOS]