Woods went into the final day of the tournament with a six-shot lead and 11 holes left to play but began dropping shots towards the end of the round. Two bogeys and a double bogey narrowed the gap between Woods and the chasing pack but never enough to threaten defeat as the world number two's even-par 72 proved more than enough to hand him victory.
The 37-year-old finished four strokes ahead of last year's winner Brandt Snedeker and Josh Teater who carded three-under 69s to take joint second place.
"I'm excited the way I played all week," Woods said. "I hit the ball well – pretty much did everything well and built myself a nice little cushion. I had some mistakes at the end, but all my good play before that allowed me to afford those mistakes."
Nick Watney (71) and Jimmy Walker (71) tied for fourth on nine-under while Robert Garrigus, Rickie Fowler and Aaron Baddeley shared six at eight-under.
David Colyer of Leaderboard Golf's Chart Hills said:
"A great start to Tiger's PGA Tour season. I think everyone would agree that he is definitely back on track."