'It feels good to win anytime,' said Jenkins, who pocketed his largest paycheck to date, $300,000. 'It was a great feeling to come back and play well this year.'
Jenkins finished the tournament at 10-under-par 134 for a one-shot victory over Champions Tour money leader Loren Roberts and Chip Beck, playing in his third event on the elder circuit.
The win was Jenkins' seventh on the Champions Tour and his first this season. His last victory came at last year's Allianz Championship.
Sponsors' exemption Mitch Adcock earned his highest finish on the Champions Tour with a fourth. He came in at minus-8, one shot better than Jay Haas, who is Roberts' closest pursuer on the money list.
Last week's winner at the Greater Hickory Classic, Andy Bean, and Jim Ahern shared sixth place at minus-5. Raymond Floyd, Gil Morgan, Scott Hoch and Brad Bryant tied for eighth at 4-under-par 140.