Andreas Lilja and Corey Perry scored for the Ducks, winners of three straight.
Bryan Bickell scored the lone goal while Corey Crawford made 16 saves for the Blackhawks, who have dropped their last three games.
Anaheim took the lead at the 10:32 mark of the first on Lilja’s first goal of the season.
Then, with 1:52 left in the first, Brian Campbell sent a pass from the low left side to the right, where Bickell whacked it in on his second attempt.
At the 1:46 mark of the second, Anaheim took a 2-1 lead when Perry’s wrister from the right circle sailed over Crawford’s right pad.
Teemu Selanne was awarded a penalty shot at the 4:03 mark of the third when he was tripped on a breakaway by Patrick Kane, but Crawford easily swallowed up the wrist shot.
Chicago nearly tied the game moments later, when Jack Skille had a wide open net from the left side. But Hiller made a glove save, and a replay review upheld the call on the ice.
The Blackhawks’ Viktor Stalberg had an open net with about 1 1/2 minutes to play, but his shot from the slot went off Dave Bolland and Hiller got a piece of the redirect. Chicago was unable to net the equalizer after pulling Crawford for the extra attacker.
Anaheim hosts Nashville on Wednesday…Chicago plays in Los Angeles on Monday…Chicago had won the previous two matchups this season…Chicago outshot Anaheim, 19-2, in the final period.