The Ducks, owners of the best record in the NHL, lost their third in a row.
It was the ninth shutout of Crawford's seven-year career, which spans 193 games.
Chicago won for the third time in four outings to move within a point of the Ducks for the league's top record.
Anaheim finished a five-game homestand with a 1-4 mark. Jonas Hiller gave up the two goals on 25 shots.
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