Matt Bonner made five three-pointers and 73, at FedExForum.
Rookie Kawhi Leonard posted his second double-double with 12 points and 10 rebounds, while Tim Duncan and Richard Jefferson added 14 and 13 points, respectively, in the Spurs' third road win of the season.
O.J. Mayo had 17 points to lead the Grizzlies, whose leading scorer, Rudy Gay, was held without a field goal (0-for-7).
Mike Conley netted 15 points, but shot just 5-of-14 from the floor in Memphis' fourth straight loss on the heels of a seven-game winning streak.