While all eyes were on Woods, Fleetwood quietly went about his business to make a strong start in the tournament. A shot behind the Englishman were Matt Kuchar and Rickie Fowler of the United States.
Woods, playing his first competitive round since February, was within one shot of the lead before finishing with a three-under 69 to be at Tied-8th. Earlier in the week, the 41-year-old said that his back was finally pain-free but it remains to be seen how his body holds up over four days of high-pressure golf.
Woods birdied on holes 3, 8, 10, 13, 14 but lost the advantage with bogeys on the par-five 9 and 15. Woods felt it was a mixed day for him.
"Up and down because I had a lot of birdies, made a lot of putts. I didn't play the par 5s very well, made two 6s and I grinded it out and made a few pars, which is nice," he said.
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"I had to dial it back a little bit with my clubs, take it a little bit further because obviously I was a little jacked up. The shot that I hit over there at 14 was pretty sweet, a little 95-yard pitching wedge. If I would have had that same shot early in the round, I couldn't have played it because I had not figured out how to dial it back yet."
Besides Fleetwood, Kuchar and Dustin Johnson (68) were the only players to go bogey free.
"I played really well, got off to a nice start. The first five holes I hit a lot of good shots and felt like I had a good rhythm and a couple birdies early on. The front nine, 4- under on the front nine is a good start to the day," said Fleetwood.
Defending champion Hideki Matsuyama (T-14) turned in a 1 -under 71, which included four consecutive birdies from 14th to 17th holes.