After his junior season at Fresno State, the Pirates drafted Wilson in the fifth round of the 2008 Major League Baseball Draft, and he signed with the Pirates. In 2009, he played for the Lynchburg Hillcats. In 2010, he played for the Altoona Curve. In 2011, he played for the Indianapolis Indians. The Pirates added him to their 40-man roster after the 2011 season to protect him from the Rule 5 draft. On April 29, 2012, pitching for the Indianapolis Indians against the Durham Bulls, Wilson pitched the first 7 1/3 innings of a combined no-hitter, finished off by Jumbo Diaz and Doug Slaten. “It was pretty awesome,” Wilson said after the game. “Great for Jumbo to come in and not give up a hit. And Doug as well. Great defense all around. Outstanding play to end the game, it was an awesome play. And then José Morales behind the plate was just outstanding tonight.” On leaving the game with a no-hitter, Wilson said: “It was tough, but you’ve got to trust your manager.”“He was making the call on what he thought, which was totally okay with me. Totally understandable. I respect him, and understand what he was doing.” With two outs in the ninth inning, Reid Brignac sent a slow rolling check swing to second base, then Anderson Hernández ranged in, bare handed the ball, and made the flip to first base to complete the no-hitter. On August 9, 2012, pitching for the Indianapolis Indians, Wilson pitched his second no-hitter of the 2012 season, an eight inning, complete game no-hitter against the Charlotte Knights. Wilson was promoted to the Pittsburgh Pirates on August 20, 2012. Wilson made his major league debut the same day, pitching one scoreless inning, with three strikeouts. Wilson had a 6–1 win-loss record with a 2.08 earned run average for the Pirates in 2013. He had a 3–4 record with a 4.20 ERA in 2014.
New York Yankees
On November 12, 2014, the Pirates traded Wilson to the New York Yankees in exchange for Francisco Cervelli. During the 2015 season, Yankees' manager Joe Girardi used Wilson as his setup pitcher for the seventh inning, with Dellin Betances and Andrew Miller pitching the eighth and ninth innings, respectively. Wilson had a 3.10 ERA in 61 innings pitched in 2015.
Detroit Tigers
On December 9, 2015, the Yankees traded Wilson to the Detroit Tigers in exchange for Chad Green and Luis Cessa. On January 13, 2016, the Tigers avoided arbitration with Wilson, agreeing on a one-year, $1.525 million contract. During the 2016 season, Wilson posted a 4–5 record, and a 4.14 ERA with 65 strikeouts in innings pitched. His strikeout rate of 10.0 per 9 innings was the highest of his career. On January 13, 2017, the Tigers avoided arbitration with Wilson, agreeing on a one-year, $2.7 million contract. Wilson began the 2017 season allowing no hits and no runs in his first 11 appearances. The streak ended on April 29, when Melky Cabrera of the Chicago White Sox led off the 10th inning with a home run off Wilson. On May 9, 2017, manager Brad Ausmus stated that Wilson would be the team's closer, after incumbent closer Francisco Rodríguez had blown his fourth save of the young season.
Chicago Cubs
On July 31, 2017, Wilson and catcher Alex Avila were traded to the Chicago Cubs in exchange for infielder Jeimer Candelario, shortstop Isaac Paredes, and a player to be named later or cash considerations. Wilson struggled with the Cubs, pitching to a 5.09 ERA and 2.09 WHIP in 23 games, while walking 19 batters in innings. His full 2017 season totals included a 4–4 record, 13 saves, 3.41 ERA, 1.29 WHIP, and 80 strikeouts in 58 innings. On January 12, 2018, Wilson signed a one-year, $4.25 million contract to remain with the Cubs, avoiding arbitration. He became a free agent after the season.
New York Mets
On January 28, 2019, Wilson signed a two-year, $10 million contract with the New York Mets.
Pitching Style
Wilson throws hard four-seam and two-seam fastballs that average 95–96 MPH. He also throws a cut fastball in the 90–94 MPH range. His primary offspeed pitch is a curveball that averages 83–87 MPH.
