Kawhi Leonard scored 29 points, and the Spurs beat Memphis 103-96 on Thursday night to take the series 4-2.
The victory pushes the Spurs into the Western Conference semifinals, where they host the Rockets on Monday in Game 1 of that series.
Spurs coach Gregg Popovich congratulated Memphis on a great year, especially rookie coach David Fizdale.
"I'm seriously thrilled that we were able to get through that first round," Popovich said. "That's the good news. The bad news is that now we have to go play Houston."
The Spurs now have beaten Memphis four of the five playoff series between these teams, and this was San Antonio's second straight win over the Grizzlies in the first round. But this was the first time all season that the visiting team won.
"It's huge for us," Spurs guard Tony Parker said. "Memphis, you have to give them a lot of credit. They played unbelievable. They're a great team, and they made it hard on us and so we didn't want to come back for Game 7. We treated this game as if it was Game 7. We wanted those days off before playing Houston because it's going to be a fast-paced game against them."
Parker added 27 points on 11-of-14 shooting, while LaMarcus Aldridge had 17 points and 12 rebounds. San Antonio outrebounded Memphis 46-28, with 16 of those offensive boards. That led to 17 second-chance points.
Fizdale said rebounds, points in the paint and who pressured the best impacted each game in the series.
"I kept stressing that to our guys," Fizdale said. "To their credit, (the Spurs) won it more games than we did. But it definitely wasn't from a lack of competition on our part. I can sleep at night knowing my guys battled and competed their tails off."
The Spurs' semifinal with Houston will start Monday night in San Antonio.
Mike Conley scored 26 points, leading the five Memphis starters in double digits. Marc Gasol added 18.
The Grizzlies fell to 3-10 in elimination games, losing six straight.
This was a taut game with 16 ties and nine lead changes, especially with four ties in the fourth quarter.
The Spurs took control after the Grizzlies went up 88-81 on three free throws from Conley with 6:29 left. Then Leonard scored eight straight for San Antonio, starting a 22-8 run to finish the game.
"The guys were amazing in the fourth quarter," Spurs guard Manu Ginobili said. "Huge plays. Great defense too. So, happy to go back home with a win and win the series."
Even with Conley and Gasol having a combined 2 of 10 in the first quarter, the Grizzlies trailed only 24-22 after Conley knocked down a 3 at the end of the quarter for his first bucket of the game. Conley hit another 3 for the final shot in the second quarter, putting Memphis up 50-45. The team that led at halftime won each of the first five games.
Parker hit his first six shots before finally missing his seventh with 29 seconds left in the first half.
The Grizzlies took their biggest lead at 57-47 on a 3-pointer by James Ennis III. That gave Memphis as many made 3s (9 of 17) as the Spurs had attempted (3 of 9) at that point. Randolph's layup with 7:19 left matched that 10-point lead at 63-53.
Then the Spurs went on a 13-3 run over a 4-minute span to erase that lead on Aldridge's three-point play at 67-66. Aldridge finished with nine points in helping the Spurs lead 75-74 at the end of the quarter.
Spurs: They improved to 36-15 with a chance to clinch a series under Popovich, who took over in the 1996-97 season. Ginobili converted a four-point play with 1:31 left in the third, putting the Spurs up 73-69. The Spurs wound up tying the Grizzlies' reserves with 16 points thanks to Mills.
Grizzlies: The Grizzlies set a franchise record hitting eight 3-pointers in the first half, topping the previous mark of seven in the second half May 1, 2005, against Phoenix. Conley has 20 or more points in five straight playoff games, the longest such streak in franchise history.
HE SAID IT
Popovich: "I'm thrilled we were able to win because if we played 10 times, we each would probably win five."
FREE THROW WATCH
Fizdale earned a $30,000 fine from the NBA for his "Take that for data" rant about the free throw discrepancy in Game 2. Well, Leonard was 9 of 10 at the free throw line through three quarters compared to the Grizzlies' 7 of 8. The Spurs were 18 of 20 through three quarters. The Spurs finished 22 of 25 compared to 20 of 24 for Memphis.
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