Nick Watney shot a five-under-par 67 to seize the first-round lead of the World Challenge golf tournament in Thousand Oaks on Thursday.
Bradley and Simpson are two players who use "belly putters," that is, putters whose grips rest against their stomachs, and golf officials announced Wednesday that they plan to ban that putting method starting in 2016.
There are 18 players in the World Challenge, which is held at the par-72 Sherwood Country Club, and 10 of the players finished under par.
Watney, who won the Barclays tournament this season on the PGA Tour, played a bogey-free round and four of his five birdies came on the back nine holes.
"I'm very pleased to be at five under [par]," Watney said. "I'm definitely happy to be on top."
Woods, however, said, "I didn't hit the ball very good today and made a few good par puts to keep the round going. I kept myself in the tournament."
Woods is the tournament's defending winner and has won the event five times overall.