San Antonio, TX – Rookie Kawhi Leonard hit the game-winning 95.
Tim Duncan scored a team-high 19 points, while Tony Parker had 15 points and five assists for the Spurs, who host the Grizzlies in Monday's regular-season opener.
Houston rookie Marcus Morris netted a game-high 20 points on 7-of-14 shooting in the loss. Both Chase Budinger and Kyle Lowry chipped in 10 points.
The Rockets open the regular season Monday at Orlando.