Hiller stopped all 12 shots he saw in the third period on his way to the victory -- Anaheim's 10th straight on the Oilers' home ice.
Cam Fowler, Kyle Palmieri and Corey Perry each tallied as the Ducks, seeded second in the Western Conference, moved closer to a Pacific Division title.
Taylor Hall scored and Devan Dubnyk finished with 27 saves for Edmonton.
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