The Kings shot much better in the second half and made the game a little tense for the Spurs in the closing minutes. Thornton made back-to-back 3s and followed with a fast-break layup, pulling the Kings to 103-100 with 55.9 seconds to go.
However, Parker drove the lane for a layup against Cousins with 19.7 seconds remaining and Ginobili made a free throw 8 seconds later to put the Spurs up by six points.
"I kind of ended up in the situation (with Parker) and he got the best of the situation," Cousins said.
San Antonio has four games remaining on its season-high nine-game road trip then it will play 17 of its final 24 at home. They return after playing Sunday in Phoenix.
The most intriguing aspect regarding the underperforming Kings this season is off the court, where the uncertainty of the team's future lingers.
Mayor Kevin Johnson is trying to prevent the Kings from moving to Seattle and wants to put together a financial plan by late next week. Whether the Kings remain in Sacramento will likely be determined during the NBA's owners meeting April 17-18.
A Seattle-based group of investors, headed by hedge fund manager Chris Hansen and Microsoft CEO Steve Ballmer, has already reached an agreement with the Maloof family to buy 65 percent of the franchise.
On Tuesday night, the Sacramento City Council voted to lend its support to keeping the Kings in town and helping to build a new downtown arena.
A pair of jumpers by Thompson pulled the Kings to within 85-81 early in the fourth. But Green quickly hit a 3 and Parker added consecutive baskets, giving the Spurs a 92-91 advantage.
Parker continued to penetrate the Kings' defense in the third quarter when he scored nine points. Green was also effective, making two 3-pointers and scoring eight points to help San Antonio take an 83-74 lead into the fourth.
The Kings got going offensively in the third quarter after shooting just over 28 percent in the first half. Both Evans and Cousins scored nine points and Thomas had eight.
Parker had 13 points and six assists and Leonard had 12 points in the opening half for the Spurs, who led 50-41 at halftime.
NOTES: Kings missed 18 of 22 shots in the first quarter and trailed 28-19. ... Stephen Jackson was not with the Kings for personal reasons. ... The Kings play the next five games on the road where they are 5-23 this season. The trip concludes March 1 game at San Antonio. ... The Spurs shot 10 of 30 on 3s.