Nick Bonino scored 2:47 into overtime, after getting one of Anaheim's two goals late in regulation, and the Ducks beat the Dallas Stars 5-4 in Game 6 on Sunday night to clinch the first-round series.
The Ducks scored twice in the final 2:10 of regulation to force overtime for the first time in the series.
In OT, Bonino skated around the from behind the net and got a puck over Kari Lehtonen's left shoulder to get the Ducks within 4-3.
Anaheim got the overtime-forcing goal with 24 seconds left after a wild scramble in front of the net with an extra skater and Lehtonen without his stick.
When the puck trickled free, Devante Smith-Pelly pushed into the open gap for his second goal of the game for a 4-4 tie.