Ginobili slammed the scorer's table with his right palm during a timeout with Houston leading 27-11.
After trailing by 18 points in the first half, San Antonio had a couple solid stretches in the second half but couldn't make the plays it needed to complete the rallies.
"We toughened up," Parsons said. "We understand that this is a great team playing on their floor, and we have to get some big stops. Everyone collectively bought into that, we got some huge stops and we didn't stop running, either."
Leonard's three-point play on Howard's fourth foul pulled San Antonio to 71-64 with 4:47 left in the third. The Spurs closed to 73-71 before Harden and Lin began draining long jumpers to help the Rockets pull away again.
Harden closed out the victory, scoring 16 points in the final quarter after missing the previous two games with an ankle injury. His second 3 of the game made it 100-90 with 5 minutes remaining.
"No, I just was getting the feel the first three quarters of who's making shots," Harden said when asked if he was waiting on the fourth quarter. "I missed two games. I wanted to get a feel for who was playing well. Coming into the game, I wanted to keep them involved and keep them going and try to get mine towards the end."
NOTES: Rockets G Patrick Beverley (right hand) and C Omer Asik (thigh contusion) missed the game. ... Academy Award winner Tommy Lee Jones sat courtside, a row in front of David Robinson's customary seats. The actor laughed and applauded when The Coyote, the Spurs' mascot, snuck beside him disguised as a Christmas tree. ... Terrence Jones pushed Matt Bonner after the Spurs' reserve forward wrapped up Howard high after the Rockets star grabbed his third offensive rebound on one possession. Duncan stepped between, putting his hand in Jones' chest and pushing him away before officials broke up the gathering. ... While the Rockets got smatterings of cheers throughout the game, Howard was lustily booed whenever he attempted a free throw or entered the game.