Rose, who held the second-round lead with Mark Wilson, broke into red figures with an 11-foot birdie putt at the fourth and followed that up with two more, including a 25-footer on the fifth.
He's seeking his third career win after capturing the Memorial and AT&T Classic last year. Rose finished four strokes clear of Australian John Senden, who registered a 1-under 70 at the Cog Hill course in suburban Chicago.
This weekend's tourney is the third event in the PGA Tour Playoff for the FedExCup and was reserved for the top 70 on the points list. If Rose were to win, he'd jump from 34th in the points race into third.
The top 30 golfers after Sunday's final round at Cog Hill will move on to the Tour Championship next week, with a $10 million FedExCup winner to be crowned then.