The Spurs began the night 2½ games ahead of the Lakers in the race for the top seed in the Western Conference playoffs.
San Antonio ended a six-game losing streak with Sunday's home win over Phoenix. The Spurs took a more important step toward home-court advantage through the Western Conference playoffs by taking their first road win in almost three weeks.
The Hawks were short-handed on their front line. Forward Josh Smith had swelling in his right knee and was not in uniform. Center Jason Collins did not return after suffering a sprained left ankle late in the first half.
With Smith out, Al Horford moved to forward as Collins started at center before suffering the ankle injury with 3:10 remaining in the first half.
Zaza Pachulia took over at center for the start of the second half.
The Hawks led 42-31 in the second quarter before the Spurs closed the half with a 12-4 run to trail 46-43 at the break. Parker had 10 points in the third period as San Antonio pulled ahead.
San Antonio led 81-79 when Atlanta's Kirk Hinrich was called for a flagrant one foul against Ginobili, who made both free throws to start an 11-3 run.
Hinrich had 13 points before fouling out. Horford had 12 points and nine rebounds.
Notes: F Marvin Williams was given the Jason Collier Memorial Trophy before the game for his community service. The award is named for the late Hawks center who died on Oct. 15, 2005. ... The Spurs' last road win came on March 18 at Dallas. ... C Etan Thomas appeared in only his 10th game as the injuries to Smith and Collins stretched the Hawks' bench. ... The Spurs took a 39-25 advantage in rebounds while outscoring the Hawks 46-36 in the paint.