Marc Gasol had 23 points and nine rebounds as visiting Memphis erased an eight-point fourth-quarter deficit to force a deciding Game 7.
Zach Randolph added 18 points and 16 rebounds and Mike Conley and Rudy Gay had 13 points apiece as the Grizzlies staved off elimination for a second straight game.
Game 7 will be played Sunday afternoon in Memphis.
Clippers stars Blake Griffin (knee) and Chris Paul (hip), who were both game-time decisions with injuries sustained in Game 6, scored 17 and 11 points, respectively.
After watching Los Angeles dominate the fourth quarter throughout the series, including storming back from a 24-point deficit to win Game 1, the Grizzlies turned the tables on the Clippers.
Reserve Eric Bledsoe scored six points in a 10-0 spurt early in the fourth to help Los Angeles build a 76-68 lead. The Grizzlies responded with a 10-0 spurt of their own to go ahead on Gay’s three-point play with 6:28 remaining.
Conley’s 3-pointer with 4 1/2 minutes to go put Memphis ahead for good and Randolph’s tip-in extended the lead to 85-80. Los Angeles got no closer than four points until Randy Foye’s 3-pointer with three seconds left decided the final margin.
Trailing 60-54, the Clippers ran off six straight points to tie the score and the teams entered the fourth deadlocked at 66.
Memphis used an 18-6 run to take a 25-16 lead after one quarter and maintained a nine-point edge before the Clippers rallied.
Reserve Kenyon Martin scored six straight points and Paul buried a 3-pointer to cut the deficit to one, but a three-point play by Gasol made it 42-38 at halftime.