Woods sank a 14-foot birdie putt on the second hole, a five-footer for birdie at the par-3 third and a 10-foot birdie putt at the fifth. Brooks Koepka and Charl Schwartzel both tied the PGA record with a round of 63.
After a two-putt birdie on the 17th Woods was faced with another lengthy putt on the last, but this time safely made par to complete a satisfactory morning's work.
The 14-time major victor was three under for his round to that point and carried on where he left off on Saturday morning, pitching to five feet and holing the putt to improve to four under par.
"I feel safe because I feel safe where my game is", Woodland said.
Defending champion Justin Thomas made one birdie and no doubt felt like he was losing ground.
"I'm in a lot better position than I was when I came out here this morning, which is great", Thomas said. With a front pin on the seventh hole, he went some 25 feet beyond the flag and holed the putt, and then got up-and-down from a bunker on par-5 eighth. His other birdie came at the par-5 17th, where he hit the green in two and two-putted from 30 feet.
Koepka, Kisner and Schwartzel thrilled the crowd by chasing the all-time record low men's major score of 62 set by South African Branden Grace in the third round at the 2017 British Open at par-70 Royal Birkdale.More news: China set to respond to new round of USA tariffs
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"And on top of that, if you hit the ball well enough, then you're going to leave yourself in the right sections". Simply go to the CBS All Access landing page and pick the plan you want to purchase. Tiger Woods sits tied for 24th at minus-3.
The PGA have confirmed their third-round tee times, with Woods out on the course at 12:21pm local time.
Paul Dunne, meanwhile, will also miss the cut as the Greystones native is five over with one to play.
Woodland is a three-time victor on the PGA Tour but has never won a major championship.
"I feel like we're in a good spot", Fowler said.
Open Championship runner-up Kisner holed six birdies as he played his first nine holes in 29 shots to move into the lead on nine under, while Woodland avenged a bogey on the 14th with an eagle three on the par-five 17th.
Tony Finau tried not to look at the opening two rounds of the PGA Championship as a Ryder Cup audition as he played alongside US captain Jim Furyk. He started the back nine double bogey-bogey to stand 4-over when the storm struck.