Kershaw threw 84 of 115 pitches for strikes in his first career start at Turner Field. The left-hander was 4-0 with a sparkling 0.58 ERA in his previous four outings.
"I definitely felt like I had good stuff, some of the better stuff I've had all year," Kershaw said. "I had command of all three pitches. In the seventh, I left some (pitches) up. Wilson was a hanger and with Gonzalez I got behind in the count."
Matt Kemp went deep for the Dodgers, hitting a three-run drive with two out in the third for his 32nd homer.
Randall Delgado, the third rookie starting pitcher used by Atlanta in the series, gave up three runs and four hits in five innings.
The Dodgers put runners on first and second with no outs in the seventh, but Cristhian Martinez struck out James Loney and Kemp and got Juan Rivera to fly out to end the threat.
"We haven't been swept in a three-game series all year and it wasn't looking good with Kershaw on the mound," said Jones, who walked as a pinch hitter in the ninth. "But we caught a break. They made a mistake on defense and Brooks Conrad capitalized and we were able to scrape one across there."
NOTES: Los Angeles 2B Justin Sellers stayed in the game after Delgado hit him on the right wrist in the third inning. ... Braves RHP Tommy Hanson, on the disabled list with shoulder tendinitis, will try some long toss Monday in Philadelphia. Atlanta has no timetable for his return. ... Braves rookie OF Antoan Richardson, whose contract was purchased from Double-A Mississippi, singled in his first career at-bat as a pinch hitter in the fifth. ... Atlanta RHP Peter Moylan was activated from the disabled list after missing 123 games with a strained back. ..Moncler jackets. Wilson was making his Atlanta debut after getting traded from Seattle on Wednesday. ...Nfl bears jersreys cheap Conrad, who landed on the first base bag awkwardly after his pinch-hit single, was walking with an air cast on his right ankle after the game. He doesn't believe the injury is serious.