The Atlanta Braves drafted Wood in the second round of the 2012 Major League Baseball draft. He played for the Rome Braves of the Class ASouth Atlantic League in 2012, where he pitched in 13 games, going 4-3 with a 2.22 earned run average and 52 strikeouts. He began the 2013 season with the Mississippi Braves of the Class AASouthern League. After pitching in ten games the first two months of the season and posting an ERA of 1.26, the Braves promoted him to the major leagues on May 30. That night, in his major league debut, he pitched the ninth inning against the Toronto Blue Jays. Wood made his first major league start on June 18, 2013 where he allowed one run and earned his first loss. Wood finished the 2014 season with an 11-11 record and a 2.78 ERA in 171.2 innings with 170 strikeouts.
Los Angeles Dodgers
On July 30, 2015, in a three-team trade, the Los Angeles Dodgers acquired Wood, Mat Latos, Michael Morse, Bronson Arroyo, Jim Johnson, Luis Avilán, and José Peraza, while the Miami Marlins acquired minor league pitchers Victor Araujo, Jeff Brigham, and Kevin Guzman, and the Braves received Héctor Olivera, Paco Rodriguez, minor league pitcher Zachary Bird and a competitive balance draft pick for the 2016 MLB Draft. He joined the Dodgers starting rotation and was 5–6 with a 4.35 ERA in 12 starts for them. Wood began 2016 in the Dodgers starting rotation. He made 10 starts in April and May and was 1–4 with a 3.99 ERA. On May 21 against the San Diego Padres he struck out a career high 13 batters in only six innings of work, the first Dodgers pitcher in history to have struck out that many in so few innings. However, he reported that he was not feeling 100% after a May 30 outing against the Chicago Cubs. An MRI exam the next day revealed a posterior impingement in his left elbow, requiring four weeks of rest, and he was placed on the disabled list. On June 16, he reported that the infringement subsided after he had some fluid drained from his elbow and he would be cleared to resume a throwing program a few days earlier than expected. He threw a simulated game against minor league hitters on July 16 and early reports were that it went well. However, shortly afterwards it was determined that he would need elbow debridement surgery, which would cause him to miss an additional two months. He did not rejoin the Dodgers roster until September 20. Overall, he appeared in 14 games for the Dodgers in 2016 and was 1–4 with a 3.73 ERA. The Dodgers did not carry Wood on their roster for the first round of the playoffs, but on October 15, he was added to their roster for the league championship series. He pitched two scoreless innings in that series. After the season, Wood signed a $2.8 million contract with the Dodgers for 2017, avoiding salary arbitration. After beginning the 2017 season in the bullpen, Wood moved to the rotation after an injury to Rich Hill. He won the National League Player of the Week Award for the week of May 8–14 after he pitched 11 scoreless innings with 21 strikeouts over two starts that week. A few weeks later he was also awarded with the National League Pitcher of the Month Award after he went 5–0 with a 1.27 ERA and 41 strikeouts in May. Wood eventually had his scoreless innings streak snapped at 28 on June 10. On July 5, Wood became the first Dodgers starting pitcher to begin the season 10–0 since Don Newcombe in 1955. On July 7, Wood was named to the 2017 Major League Baseball All-Star Game. In 27 appearances for the Dodgers he was 16–3 with a 2.72 ERA and struck out 151 batters. He allowed three runs in 4 innings in his one start in the 2017 NLCS but in the 2017 World Series he started game four and allowed only one run in 5 innings and then came back and pitched two shutout innings of relief in game seven. In the off-season, Wood signed a one-year, $6 million, contract to avoid salary arbitration. In 2018, he went 9-7 in 33 appearances.
Cincinnati Reds
On December 21, 2018, the Dodgers traded Wood to the Cincinnati Reds, along with Matt Kemp, Yasiel Puig, Kyle Farmer and cash considerations in exchange for Homer Bailey, Jeter Downs, and Josiah Gray. Wood came down with a back injury in spring training and missed most of the season on the disabled list. He made seven starts and was 1–3 with a 5.80 ERA.
Return to the Dodgers
On January 12, 2020, Wood returned to the Dodgers on a one year, $4 million deal.
Pitching style
Wood pitches with a herky-jerky three-quarters delivery. Based on his previous success, Wood began regularly pitching from the stretch position starting in 2018. He throws a four-seam fastball, a two-seam sinker 91 to 95 mph, a changeup, and a knuckle curve.
Personal life
Wood married his longtime girlfriend, Suzanna Villarreal, a realtor, on November 25, 2017, in Atlanta, Georgia.
