Austin Daye scored a season-high 22 points and had 10 rebounds to help San Antonio win on the road and hand Minnesota its 15th straight loss.
Patty Mills scored 19 points and Tim Duncan added 13 points and 6 rebounds for the Spurs, who were missing Manu Ginobili and Marco Belinelli because of injuries.
The Timberwolves were missing Shabazz Muhammad because of an abdominal injury in addition to the long-term absences of Ricky Rubio, Nikola Pekovic and Kevin Martin.