Tim Duncan had 19 points and six rebounds, Kawhi Leonard scored 16 points and the Spurs won the series in six games.
Tony Parker shook off a poor start to score 10 of his 13 points in the fourth quarter. Tiago Splitter added a career-playoff high 14 points for San Antonio, which led by 13 late in the third quarter.
Stephen Curry shot 10 of 25 from the floor to score 22 points on a nagging left ankle. Jarrett Jack had 15 points as the injury-saddled Warriors wore down. The Spurs outshot Golden State 45 percent to 39 percent.
Second-seeded San Antonio will open the conference finals at home against Memphis on Sunday.