Woods, who returned in January after missing almost the entire previous two years with a debilitating back injury, held a three-shot advantage heading into the final round.
A birdie on his opening hole extended Woods’ lead to four shots to give the former world number one a dream start.
With the remainder of the 30-man field struggling to make any inroads, Woods then played solid if unspectacular golf to keep a stranglehold on the lead.
A bogey on the 10th was a mere blip, with Woods re-establishing a five-shot cushion at 13 under after rolling in a 13-foot birdie putt on the par-four 13th.
Billy Horschel closed the gap to four shots after after a four-under-par final round 66, but Woods looked to be in control.
Woods, however, gave his army of fans roaring him on a scare though when back-to-back bogeys on the 15th and 16th holes cut his lead to two with two to play.
But he steadied the ship with a dogged par on the 17th and then closed out the win with a par on 18.
“Billy put a bit of pressure on me at the end. The up and down at 17 was huge,” added Woods, who was flying to Paris later Sunday with the US team for week’s Ryder Cup.
“We’re flying tonight with the guys, it’s going to be fun,” said Woods. “I think we’re all going to sleep well.”
Meanwhile England’s Olympic champion Justin Rose ensured he walks off with the FedEx Cup playoff title after finishing on six under for a share of fourth.
Woods was made to sweat however after a shaky three-over-par 73 on his final round.
“It felt like a slow death out there for me today,” Rose said before saluting Woods, who stood nearby.
“I’d like to congratulate Tiger right now. I think the world of golf is really proud of you and is super excited about your game and the way the game of golf is going.”