The win for Woods, who is part of the United States team for next week's Ryder Cup in France, means he is now two short of Sam Snead's all-time PGA Tour title record of 82. Third-round contenders Justin Rose and Rory McIlroy each fell back, Rose with a closing 73 to finish T-4 and McIlroy with a 74 to end up T-7.
Woods shot 68 on Friday, after shooting 65 on Thursday.
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The only scenario not now in position after three rounds is Rose, who would need to fall a few spots (and Woods win the tournament) for Woods to win his third FedExCup title.
Dressed in his traditional red shirt on Sunday, the 42-year-old started the day with a three-shot lead and overcame a couple of late stumbles to finish at 11-under overall and claim his 80th title on the US PGA Tour.
And an awkward one for the tour.
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15 and 16, but a par save on No. 17 sent him to the final hole, a par-5, with a two-shot lead. He left the competition feeling hopeless as he built a five-shot lead early and hung on to win the Tour Championship. And there's a chance no one will even notice.
The 14-time major victor was nearly robotic during a third round of five-under-par 65, which elevated him to 12 under - three shots ahead of playing partner Justin Rose (68) and Rory McIlroy (66).
One year ago, Woods was still waiting for his lower back to fuse and wasn't sure he could ever play again. The gallery at East Lake was enormous in anticipation of Woods winning for the first time in more than five years.
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The Gunners were coasting to an easy win as Mesut Ozil made it 4-0 with the simplest of finishes inside the box. I think it could change, not every week, but he will change a lot.
Rose, on the other hand, won the FedEx Cup and a $US10 million ($13.7 million) payday, with Woods finishing in second spot.