Hampus Lindholm, Nate Thompson and Jakob Silfverberg each had a goal and an assist while Kyle Palmieri also scored for the Ducks.
Frederik Andersen made 32 saves as the Ducks opened their first conference finals in eight years by improving to 9-1 in these Stanley Cup play-offs.
Although the Blackhawks clearly are a major step up in competition, the Ducks’ confidence grew with a strong all-around performance backed by brilliance from their imposing Danish goalie.
Andersen had to be stellar under a heavy barrage of high-quality shots from the Blackhawks, who had won five straight post-season games heading into their third straight conference finals.
Kane scored seven goals in the first two rounds, but could only shake his head on the bench after Andersen’s phenomenal stick save in the first period.
Brad Richards scored late in the second period and Corey Crawford stopped 23 shots for Chicago, which hadn’t lost since April 23.
Both teams’ offensive stars were shut down in the franchises’ first post-season meeting, but the Ducks’ supporting cast took over the scoring, capped by Silfverberg’s empty-net goal with 1:18 left.
Andersen also made a handful of spectacular saves in the third when Chicago pressed after Thompson made it 3-1 with 7:55 to play in a sequence created by speedy Andrew Cogliano.
Game 2 is Tuesday night in Anaheim.