Chasing his first title in his third season in LIV Golf, Herbert's nearest challenge is Sergio Garcia.
Scoring was so low at Trump National that Josele Ballester of Spain had a putt for a 59. Ballester made par on his final two holes for a 60, two short of the scoring record on LIV Golf.
Herbert had such a large lead over the field, however, that Ballester remains in a large group of players eight shots behind. That group includes Bryson DeChambeau (65) and Scott Vincent of Zimbabwe, who had a 62.
"Didn't think about shooting below 60 until the last four holes," said Ballester, who had to save par on the seventh and ninth holes. His wedge into his final hole at No.10 was about 25 feet away.
"I wish I maybe hit it a little closer on the last. I was a little unlucky I was in between numbers and with the adrenaline on my form didn't help as well to hit a good wedge shot," he said.
Garcia shot 65 to at least stay in range. Jon Rahm shot 65 and was nine shots behind.
Herbert had opened with rounds of 64-63. He made two quick birdies, but then stalled the rest of the way. His birdies came on all the par 5s and the par-3 third hole.
His Ripper GC team, with fellow Aussies Cam Smith, Marc Leishman and Elvis Smylie, are in third in the team standings, behind Fireballs GC and Legion XIII, who share first.
An individual win for the 30-year-old Herbert would qualify him for the US Open as he is projected to land in the top three of the individual season standings.
The top three as of May 18 will receive exemptions to the major.
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