James Harden added 23 points and Jeremy Lin had 20 for Houston, which connected on 21-of-36 second-half shots to rally from 19 points behind and improve to 3-0 on the young season.
Dwight Howard helped out with 15 points and eight rebounds.
Richard Jefferson put in 18 points and Enes Kanter hit for 16 as the Jazz dropped to 0-3 starting the season for the first time in 34 years.
Gordon Hayward and Alec Burks each scored 15 points for Utah.
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