John Daly, second overnight after an opening 67, bogeyed his first two holes and finished with 73 for even-par 140.
Past form indicates Woods will be hard to catch.
All seven times he has led at the half-way mark of a major he has won, and all six majors held at Southern Hills have been claimed by a player who led or shared the 36-hole lead.
"It certainly does give you confidence," Woods said. "It's just a matter of going out there and doing it. I hope that I can play even better."
Seventy-two players made the cut, which was set at five over par.
Among those missing the cut by one stroke were former PGA champions Vijay Singh and Davis Love and former U.S. Open winner Jim Furyk.
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2020-09-15
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