Jalen Green also scored 22 points and Eric Gordon had 19 for Houston.
Bradley Beal led Washington with 27 points. He fouled out with 9:10 to play on his second offensive foul. It was the three-time All Star's first disqualification since Nov. 29, 2017, and the first of his career before the final two minutes of regulation.
Kentavious Caldwell-Pope added 26 points, and Kyle Kuzma had 24 for the Wizards. They failed in their bid for their second pair of consecutive wins since the start of December.
The Rockets started the fourth on a 7-0 spurt to push their lead to 10, and were still up seven when Beal fouled out.