“I never really thought I’d be that emotional about it. I wasn’t going to let it get away from me today.”
Young, who led by five shots after the third round, bogeyed the opening hole but birdied the next five and could afford to drop shots on the 16th and 17th.
He is the 1,000th winner on the PGA Tour.
Young said he would “love the chance to play” in the Ryder Cup against Europe in New York in September.
“That team is the goal for many of us,” he said.
The Wyndham Championship is the final tournament of the PGA Tour’s regular season.
The top 70 players in the FedEx Cup standings qualify for the opening play-off event, the St Jude Championship in Memphis, Tennessee, starting on Thursday.