Bryant, who became eligible for the tour when he turned 50 last November, recorded his first win on the circuit a week ago at the Dick's Sporting Goods Open. He won three times during his regular PGA Tour career.
He shot a 6-under-par 66 at the TPC-Snoqualmie Ridge course in a round highlighted by four straight birdies starting at the par-four third.
Kenny Perry, leader in the year-long points race on the Champions Tour, needed four birdies in the final six holes to shoot a 2-under 70.
Swim Week Miami Beach 2014 [PHOTOS]