Fleetwood took advantage of easier scoring conditions in the morning at TPC Sawgrass. The Englishman turned in a bogey-free performance that included six birdies on his closing nine.
Bradley rode a hot putter to the top of the leaderboard after Day 1. He gained over three strokes on the field with his flatstick.
Fleetwood and Bradley also shared the lead after Round 2 of last week's Arnold Palmer Invitational.
Rory McIlroy carried his strong play so far in 2019 into The Players. His bogey-free 67 puts him in a tie for fifth, well within striking distance.
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