The Spurs will face either the Oklahoma City Thunder or Los Angeles Lakers for the Western Conference title and a trip to the NBA Finals.
The Thunder lead the series 3-1 and can advance to the conference finals with a win over the Lakers in Oklahoma City Monday.
Tony Parker scored 17 points, Danny Green and Gary Neal had 14 points each and Manu Ginobili and Tiago Splitter each scored 11 points for San Antonio -- which has swept both of its post-season series and has won 18 straight games dating back to the tail end of the regular season.
Griffin took four stitches in his lip at halftime after a collision with Ginobili late in the first half.
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