Both players had scores of 12-under-par 204 after regulation and in the concluding 18 holes, both shot 7-under 65.
At the winning hole, Bryant made birdie to successfully defend his title and win for the third time on the Champions Tour.
Scott Hoch, who had at least a piece of the lead after the first two rounds, closed with a 2-under 70 to end alone in fifth at 10-under 206.
Bob Gilder, who shared the second-round lead with Hoch, shot only 1-over 73 in the final round. That dropped him into a share of sixth at 9-under 207 with Ben Crenshaw (68), Hale Irwin (70), Hajime Meshiai (66), Rod Spittle (66) and Fuzzy Zoeller (69).