Rose, who entered the week ranked ninth in the world, completed a 7-under 65 in the rain-delayed third round and closed with a 66 at TPC Louisiana for his seventh PGA Tour title.
The Englishman has won at least once in six straight seasons, the second-longest streak on the tour behind Dustin Johnson's eight straight.
Playing aggressively on a soggy course, Rose made six birdies in the final round and played the last 66 holes without a bogey.
Rose's final two putts from 10 and 13 1/2 feet allowed him to hold off Cameron Tringale by a stroke. Tringale birdied the 18th for a 65.
