0910 GMT May 21, 2018
The reigning NBA champions, jolted by the Spurs in Game 4 on Sunday, booked their place in the next round with a nervy 99-91 win in front of the home fans at the Oracle Arena, AFP reported.
The Warriors will now face the New Orleans Pelicans for a place in the conference finals.
However Golden State were given a scare after a late fourth quarter rally from San Antonio that threatened to take the best-of-seven series to a game six.
The Spurs chipped away at a double-digit Golden State lead to close to 93-91 with 57 seconds left on the clock.
But Durant delivered when it mattered with a superb fade-away jump shot and two free throws to take Golden State clear again as the clock ticked down.
Warriors coach Steve Kerr said the Spurs' battling performance bore the hallmark of counterpart Gregg Popovich, who again was missing from the San Antonio bench following the death of his wife from a long illness last week.
"That was a big-time fight. We're lucky to get out of here," Kerr said.
"They're a championship organization and they've been doing this for a long time. They're a reflection of their coach."
Golden State had edged into a 22-20 first quarter lead before stretching away in the second quarter to go into the halftime break 49-38 ahead.
A late flurry in the third quarter, including a Durant three-pointer and a pullup jump shot from Shaun Livingston gave the Warriors a 79-65 lead heading into the final quarter.
With the Warriors still without the injured Stephen Curry, it was left to Klay Thompson and Durant to carry the offense.
Durant finished with six rebounds and five assists while Thompson had 24 points. Draymond Green also contributed 17 points and 19 rebounds.
LaMarcus Aldridge led the scoring for San Antonio with 30 points while Patty Mills had 18. Veteran Manu Ginobili scored 10 off the bench.