The pair carded a 59 in the opening round and are on 13 under along with Bernhard Langer and his son Jason Langer as well as Vijay Singh and his son Qass.
The 36-hole exhibition tournament, which includes current and former professional golfers playing with a parent or child, concludes on Sunday.
Tiger Woods, a 15-time major winner, and Charlie are making their fifth appearance at the annual event, which also allows players to use golf carts.
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The duo tied for fifth last year after finishing second in 2021.
“It’s a scramble, so we’re trying to pull off each and every shot for each other,” said Tiger Woods, 48.
“I think we did that great pretty much the entire day. Charlie made pretty much most of the putts today.”
