Green finished 12 of 24 from the floor and was 5 of 11 on 3-pointers. Amen Thompson finished with 17 points, 10 rebounds and six assists for Houston, which shot 50 per cent, including 13 of 26 on three-pointers.
Jabari Smith Jr had 15 points and nine rebounds off the bench in his first game back after missing 22 games with a broken bone in his left hand.
Anthony Edwards scored 37 points on 13-of-32 shooting, including 4 of 14 on three-pointers. Edwards scored 25 points in the first half on 8-of-15 shooting, including 3-of-7 on three-pointers.
Naz Reid had 22 points and eight rebounds, Jaden McDaniels added 21 points and Nickeil Alexander-Walker had 16 points for Minnesota, which shot 45 per cent, including 11-of-39 on three-pointers.
Timberwolves: Mike Conley returned to the lineup after missing four games with a sprained right index finger, but he was in foul trouble for most of the night and finished with five points in 24 minutes.
Rockets: One area that coach Ime Udoka pointed to before the game where Smith’s return would help was rebounding. Houston outrebounded the Timberwolves 48-35.
Tied at 108, Green made a three-pointer with five minutes remaining to kickstart Houston’s 9-2 run to open up a seven-point lead with 48 seconds left.
Edwards was 1-for-6 in the fourth quarter, including 1-of-4 on three-pointers. He scored 3 points in the quarter as Houston sent double teams at him.
Minnesota hosts Oklahoma City on Sunday night, while Houston travels to Utah on Saturday night.