Haas' long birdie try gave him his fourth career PGA Tour title, besting Phil Mickelson and Keegan Bradley in the extra action.
Haas, the reigning FedExCup champion, fired a 2-under 69 Sunday to finish at 7-under 277.
But Bradley and Mickelson each sank tough birdie putts themselves on the final hole of regulation to grab a piece of the lead.
Each finished the fourth round with even-par 71s.
Mickelson just missed notching his second victory in two weeks coming off his victory in the Pebble Beach Pro-Am.