Langer came into the final round a half-dozen shots behind second-round leader David Peoples but turned in a bogey-free round at TPC Twin Cities to collect his 15th Champions Tour win, ending at 18-under 198.
Peoples fell to a 2-under 70, hanging onto second place at minus-16.
Joel Edwards registered a 67 to claim fifth place at minus-14.
2014: NFL Cheerleaders [PHOTOS]
Michael Sam cut from the Dallas Cowboys