The team announced the news during a game Tuesday night at Tampa Bay. Surgery is tentatively scheduled for next week in Los Angeles with Dr. Neal ElAttrache.
Angels manager Mike Scioscia said before the game that Wilson was "leaning" toward having season-ending surgery after getting a second opinion Thursday.
"As of right now, he hasn't been able to get over the hump," Scioscia said.
Wilson has not pitched in a game since having surgery last August to remove bone spurs from his left elbow. He has a career record of 94-70, including 51-35 with Los Angeles.