Wilson, part of the Britain-Ireland team that beat the United States in the Walker Cup last September, earned a spot at next month's British Open at Royal Troon. He also gets a place at next year's Masters at Augusta.
He's the first Scot to win the trophy at St. Andrews since Hector Thomson in 1936.
'On a personal level this is as big as it gets,' Wilson said. 'I thought this might be my year because I know the course so well.'
Corfield three-putted six times early on and was three down at the end of the first round. He had more putting problems at the 25th.
'I'm generally confident on the greens, and it let me down. I don't know why,' Corfield said.
In the semifinals, Corfield beat Andrew Svoboda of the United States with a last-green birdie while his opponent three-putted. Wilson downed fellow Scot Eric Ramsay, 2 and 1.
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