In the 2013–14 season, Lowry suffered a minor thigh strain in the club's pre-season friendly. Despite this, Lowry remained in the first team under the new management of Steve Lomas until he received a straight red card after a foul on Will Hughes, in a 5–1 loss against Derby County on 14 September 2013. After serving a three match ban, Lowry remained on the bench without playing for four matches Lowry made his first team return on 2 November 2013 when he came on as a substitute for Scott Malone against Burnley. However, his return, after spending two months without playing, was a disastrous when he scored an own goal, which saw Millwall drew 2–2. After this, Lowry was out of the first team, demoted to the substitute bench between mid-November and mid-December until he made his return on 26 December 2013, in a 4–0 loss against Watford. On 28 January 2014, Lowry was sent-off for the second time this season in the late-minutes against Sheffield Wednesday after fighting with Giles Coke, who also was sent-off as well, with both side drew 1–1. After serving a four match ban, Lowry was in the first team throughout February and March until he suffered a foot injury that kept him out for the remainder of the season. Lowry went on to finish the 2013–14 season, making twenty-two appearance.
Abu Dhabi HSBC Golf Championship: Held off final-round charges from Thomas Pieters, Rory McIlroy and Henrik Stenson to win the Abu Dhabi HSBC Golf Championship, marking his second European Tour title. The victory was the first at the event by an American since Chris DiMarco won the inaugural event in 2006. Final-round highlights included a holed bunker shot on the eighth hole (which helped propel him to a three-stroke cushion at the turn), a chip-in for birdie on the 17th hole and then a par on the last to hold off Pieters by one stroke.
Lowry was the 2007 Irish Amateur Close Champion, defeating Niall Turner 4 & 3 in the final. While still an amateur in May 2009, he won The Irish Open on the European Tour, defeating Robert Rock on the third hole of a sudden death playoff. The win, on his tour début, made him just the third amateur to win on the European Tour, following Danny Lee earlier in the 2009 season, and Pablo Martín in 2007. Lowry shot a 62 to equal the lowest ever by an amateur on the circuit and led from the second round onwards.
“I was literally thinking I’d need surgery but I talked to Greg, he was like no, no, no, don’t do any of that, we’re going to teach your body to tolerate the force. Usually when ligaments get torn or bones get broken or whatever it’s because the muscles aren’t functioning properly, so thats what I’ve been doing.” He’s been focusing on exercises that get him into “extreme positions of rotations and flexions” at which point he adds weight to build mental and physical tolerance in those positions.
In June 2015, he became the first SMU Mustang to win the NCAA individual championship, recording a score of 280 (−8) to win by one stroke. In August, he won the U.S. Amateur title, defeating Derek Bard 7 & 6 in the 36-hole final. He became the fifth player to win both the NCAA and U.S. Amateur titles in the same year, joining Jack Nicklaus (1961), Phil Mickelson (1990), Tiger Woods (1996), and Ryan Moore (2004).
Hyundai Tournament of Champions: Finished T6 in a Monday-start-Tuesday-finish event, the season-opening, 54-hole Hyundai Tournament of Champions. The event "started" twice during the regularly scheduled first round Friday and later Sunday, but both times PGA TOUR rules staff halted play due to unplayable windy conditions and subsequently voided all scores that had taken place. As the first player off the tee, he ended up hitting three "opening" shots of the season.