'I always did want to win multiple tournaments in a year,' said Furyk. 'I had a good opportunity today. I'm glad that I went out there and got the job done.'
Woods closed with a round of 66 to share second place with Chris DiMarco, Geoff Ogilvy and Briny Baird at 19-under-par 269.
The top player in the game had his problems on Saturday at Warwick Hills, but managed a third-round 69 to remain in contention. On Sunday, Woods made a run at the top spot.
Woods was four shots behind Furyk to start the day and went birdie-bogey over his first two holes. At the par-4 fourth, Woods hit his second shot to 12 feet for a birdie and then got some help from an unsuspecting member of the gallery at the par-5 seventh.
Woods hit a bad second shot and watched as his ball drifted right into the crowd, where it struck a fan in the head and bounced into a greenside bunker.
The 27-year-old walked over to the spectator and offered his sympathy before hitting out of the sand to four feet. Woods ran home the short putt for a birdie and nearly aced the par-3 eighth.
Woods' tee shot stopped six inches from the hole for a tap-in birdie. He then added back-to-back birdies from the 11th to pull within one of Furyk but Woods' charge ultimately came up short of the reigning U.S. Open champion.
Furyk surged into the lead with a Saturday 65 and jumped out of the gate with a birdie at the first on Sunday. He followed that up with a birdie at the second after his approach landed two feet from the cup and just like that, Furyk had a three-shot lead over the field.
The 33-year-old dropped his second shot inside six feet for a birdie at the par-4 sixth to reach 20-under.
Furyk was not yet in the clear, however, and a bogey at the 11th saw his lead shrink to one shot.
'I think I got in my own head a couple times today and didn't close the door earlier when I could have,' said Furyk.
He countered a few holes later with a birdie at the 13th and padded his advantage with a birdie at the 14th.
Furyk parred his way in, including a difficult up and down from the sand on 18, for the win.
'I really was out there,' said Furyk. 'I kind of felt like I couldn't get to the house quick enough today. I just wanted to get it over with.'
The victory is Furyk's ninth on the PGA Tour.
'I got the ball in the hole and got the job done, and that's the difference between having a good week and winning a golf tournament,' said Furyk, who takes home $720,000 for the win and moves into second place on the 2003 money list. 'I just scored very, very well this week.'
Paul Goydos and Neal Lancaster finished three shots off the lead at 18-under- par 270.
Kenny Perry, who won this event in 2001, carded a final-round 70 to join Vijay Singh, Paul Gow and Andrew Magee at 16-under-par 272.
Paul Azinger collected five birdies and one bogey for his best finish of the season. Azinger carded a 68 to finish at 15-under-par 273 along with Jeff Sluman in a tie for 12th.
David Sutherland, John Huston, Dicky Pride, Garrett Willis and Heath Slocum were one shot further back at 14-under-par 274.