Early years Veselý began playing basketball with the youth clubs of Příbor and BK Snakes Ostrava in the Czech Republic. In 2007, he moved to Slovenia and signed with
Geoplin Slovan.
Partizan (2008–2011) In April 2008, he signed a multi-year deal with Serbian club
Partizan. He won nine club trophies with the club, and also reached the
2009–10 Euroleague Final Four. In 2010, Veselý was presented the
FIBA Europe Young Men's Player of the Year Award.
Washington Wizards (2011–2014) Veselý was drafted in the first round by the
Washington Wizards with the sixth overall pick in the
2011 NBA draft. After
Flip Saunders was fired, Veselý saw more minutes on the court under new coach
Randy Wittman, who also implored him to be more aggressive offensively. On April 9th, 2012, he recorded his first double-double, finishing the game with 11 points and 11 rebounds in a win over the
Charlotte Bobcats. Veselý continued his success over the Bobcats on April 23rd, when he posted a career-high 16 points on 8-8 shooting. He averaged 4.7 points and 4.4 rebounds in his first NBA season. However, in his second season with the Wizards, he averaged just 2.5 points and 2.4 rebounds per game, while shooting just 31% from the free-throw line. He continued to struggle in his third year with the Wizards. Playing in 33 games, he averaged 3.2 points and 3.4 rebounds per game, and shot only 27% from the free-throw line.
Denver Nuggets (2014) On 20 February 2014, Veselý was traded to the Denver Nuggets in a three-team trade. Until the end of the season, he appeared in 21 games, averaging 4.4 points, 3.7 rebounds and a career-high 1.3 steals per game.
Fenerbahçe (2014–2022) On 5 August 2014, Veselý signed a two-year deal with the Turkish club
Fenerbahçe. Fenerbahçe advanced to the
2015 Euroleague Final Four, the first time in the team's history that they played in a
EuroLeague Final Four. On 15 May 2015, however, they lost in the EuroLeague semifinal game to
Real Madrid, by a score of 87–96. Veselý contributed with 20 points and 6 rebounds in the semifinal game. Eventually, Fenerbahçe finished in 4th place in the EuroLeague, after losing in the third-place game to
CSKA Moscow, by a score of 80–86. Over 29 EuroLeague games played in the 2014–15 season, he averaged a career-high 11.2 points and 5.4 rebounds per game, on 63.3% shooting from the field. He was the
EuroLeague's
2015–16 season selection as the
MVP for the month of January. On 21 March 2016, it was announced that he would be sidelined for up to six weeks, due to an
Achilles tendon injury, which caused him to miss the entire EuroLeague playoffs against
Real Madrid. He'd make his return on 13 May 2016, in the
2016 Final Four match-up against
Laboral Kutxa. In his return, he'd record 14 points, in an 88–77
overtime victory against them, while also being announced as a part of the
All-EuroLeague First Team, for his performances in the 2015–16 Euroleague season, before his Achilles tendon injury. in 2021 On 9 July 2016, Veselý signed a new three-year contract with Fenerbahçe, with NBA opt-out clauses every summer. In 2017, Fenerbahçe defeated Olympiakos 80–64 in the Euroleague final in Istanbul, becoming the champion for the first time in its history and Veselý became one of the most important parts of that Fenerbahçe basketball team. In May 2018, he was named the
All-EuroLeague First Team for the
2017–18 season, his second career nomination. In
2017–18 EuroLeague, Fenerbahçe made it to the
2018 EuroLeague Final Four, its fourth consecutive Final Four appearance. Eventually, they lost to
Real Madrid with 80–85 in the final game. Over 34 EuroLeague games, he averaged career-highs of 12.5 points and 1.6 assists, while also having 5.1 rebounds per game. On 18 February 2019, Veselý signed a three-year contract extension with Fenerbahçe. On 9 May 2019, Veselý was once again named to the
All-EuroLeague First Team. Later that month, Veselý was named the
EuroLeague MVP for
2018–19 EuroLeague season. On 21 June 2022, Veselý officially parted ways with the Turkish club after eight seasons.
FC Barcelona (2022–present) On 1 July 2022, Veselý signed a three-year deal with
FC Barcelona of the Spanish
Liga ACB and the
EuroLeague.
Free Throw Struggles and Turnaround One of the notable story lines of Vesely's career was his turnaround in free throw shooting. In his first year in the NBA, he memorably
airballed his first free throw attempt, then went on to shoot 53% for the season, in a league where the average was 75%. In his second year he shot 31%, and in his third year 27%. He admitted that the free throw problems were "a mental thing" and a lack of confidence. His fear of shooting free throws was known to his teammates, and in one instance teammate
Jordan Crawford attempted to shoot Vesely's free throws for him when Vesely had been fouled. On discovering the switch, the referee took away the point that Crawford had made and gave the ball to Vesely, who then missed both free throws. His career 40.8% average in the NBA places him among some of the worst free throw shooters of all time. On returning to Europe, Vesely continued to shoot less than 50% from the free throw line in
EuroLeague play, and in the 2016 Final only made 1 out of 10 free throws. His coach of the time,
Fenerbahçe coach
Željko Obradović, told him "Even if you shoot 0/20 right now… I won’t care. The most important thing is for you to understand that it’s a completely psychological thing. That you need to go to the line and shoot as always you do because your form is very good.” From that low point Vesely steadily gained confidence and improved. In the 2020-21 season in EuroLeague play, he averaged 76.6% from the free throw line. In three years playing for FC Barcelona between 2022-2025, he averaged 78.1%. His transformation of what was one of the weakest parts of his game into one of his strengths was cited as an inspiration to teammates. ==National team career==