Howard made 20 of his saves in the third period, keeping the Red Wings close in a tight game.
Detroit broke a 1-1 tie with 7:54 remaining in the third when Tomas Tatar scored on the rebound of a Riley Sheahan shot.
Daniel Cleary added an insurance goal 5 1/2 minutes later as Detroit improved to 2-1-0 on a five-game road trip.
Tatar and Sheahan each finished with a goal and an assist.
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