In the closing 18 holes, Furyk shot 5-under 65, to finish at 14-under 266.
It gave him 12 victories in his career, two this year. He won the Wachovia Championship in May.
"I gave myself a lot of opportunities out there," Furyk said. "I'd been searching the last couple days for my swing and it kicked in at the right time."
Bryant shot 3-under 67 Sunday and, after a late birdie, came in at 13-under 267.
Furyk won $900,000.