Rose made the most of near-perfect conditions to collect seven birdies at the Riviera Country Club.
Woods mixed six birdies with two dropped shots and a double-bogey at the par-three fourth.
Kingston, who lost his card last season, hit four birdies in his final seven holes.
But the 23-year-old battled back with four birdies and an eagle at the fifth.
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Scotland's Doug McGuigan hit five birdies to reach four under with three holes left to play.
Karlsson's one-under 70 was also an eventful affair as it included five birdies and four bogeys.
He reached the turn in just 30 strokes and carded 11 birdies in all.
Saturday's round included six birdies, a bogey and a double bogey at the notorious 17th.
The world number two had one eagle and four birdies as he moved to 13 under.
On the back nine, where he shot 30 on Saturday, he managed only two birdies.
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"I didn't make enough birdies in the end, " McIlroy told the PGA Tour's official website.
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The American bagged five birdies on the opening nine but came back in level par.
So it's hard to make birdies and also to keep the bogeys off the card.
But on this day, it was his birdies and one eagle that made the difference.
Two birdies came in his final three holes, sandwiching his sole bogey on the day.
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O'Hern made a steady start before he carded three successive birdies from the seventh.
American Ridings shot an impressive round of 66, including seven birdies, to move into second place.
In winning in 2008, he made only three bogeys in the first three rounds, plus 13 birdies.
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"I changed putters for the first time in probably two years, " said Campbell, who carded seven birdies.
Four consecutive birdies on the back nine helped Edwards to a tournament record score of 19-under par.
Both had to get birdies to catch Simpson and tie the tournament, setting up a dramatic ending.
The 21-year-old hit a brilliant nine-under-par 63 in the first round, with seven birdies and an eagle.
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He had three further birdies but found water at the 16th, where he ended with a double-bogey.
But he began his scorching back nine with an eagle and added birdies at 11, 12, 14, 15 and 18.
Williamson opened with three birdies before a bogey at the fourth, his only one of the day, dropped him back.
He picked up four more birdies over the next 10 holes before the bogey at the 13th.
Pappas made 10 birdies with a superb display of putting to make up for some wayward tee shots.
Further birdies followed on one, four, six and eight, where he almost holed out with a nine-iron approach.
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