Wood had 11 points and six rebounds in the first half, helping the Rockets take a 62-49 lead.
Houston led 77-62 midway through the third quarter, but Detroit answered with an 8-0 run. However, the Rockets turned three offensive rebounds into a pair of scoring possessions and restore a double-digit lead.
The Rockets finished the quarter with six offensive rebounds and took a 88-75 lead into the fourth.
Detroit couldn’t put together enough stops in the fourth quarter to make a significant run.
Rockets: Josh Christopher, the 24th pick in this summer’s draft, made his first NBA start. He finished with 10 points and seven assists in 28 minutes.
Pistons: Coach Dwane Casey returned to the bench after missing Detroit’s previous game for a personal issue.