Curtis, who last won six years ago at the 84 Lumber Classic, survived challenges from Matt Every and John Huh to finish with a two-shot win at 9-under 279.
Every's putter abandoned him on the back nine and he had to settle for a 1-under 71, good for a second-place tie with Huh (69) at minus-7.
Every was seeking his second crown of the year after earlier taking the Mayakoba Golf Classic.
Moore to attend retreat in to avoid Kutcher's wedding
Lytro unveils camera that can focus a photo after shooting it