He also won the boys' doubles titles at the Australian Open, partnering Filip Horanský of Slovakia; they defeated Ben Wagland and Andrew Whittington of Australia in the final.

[4] Veselý made his Davis Cup debut for Czech Republic in February 2013, and to date has nine singles titles on the ITF Futures circuit to his name and three Challengers.

[5] Veselý qualified into the 2013 French Open for his first appearance into the main draw of a Grand Slam.

In 2014, Veselý reached the 3rd round of the 2013 BNP Paribas Open where he lost to Andy Murray in three sets.

Veselý won his first Grand Slam match at the 2014 French Open, then the following month reached the third round of a Major for the first time in his career at the 2014 Wimbledon Championships as a wildcard.

Veselý reached two singles finals at ATP World Tour, winning his first title at the 2015 Heineken Open in Auckland, after defeating Adrian Mannarino.

He recorded a singles win over Lleyton Hewitt of Australia, however was defeated by Alexandr Dolgopolov of Ukraine and Jack Sock of the United States.

Veselý started his grass court season at 2016 Aegon Championships by losing to Kevin Anderson in qualifying, but earned the lucky loser spot.

At the 2016 Wimbledon Championships, Jiří pushed through 3 consecutive tie-broken sets, besting world No.

Jiří lost to fellow countryman Tomáš Berdych in a hard-fought five set match.

The 2016 Winston-Salem Open proved dreadful for him as he was forced to retire again during his match in the third round to Andrey Kuznetsov.

He beat Saketh Myneni in the first round and set up a rematch of Monte Carlo with world number one Novak Djokovic.

Veselý won his second doubles title partnering Roman Jebavý at the 2017 Istanbul Open.

He opened his campaign by defeating wildcard Arjun Kadhe, then beat 7th seed Salvatore Caruso in straight sets, before saving a match point in the final tiebreak to defeat Ilya Ivashka in 3 tight sets.

In the semifinals, he once again required 3 sets, saving 4 match points to defeat Ričardas Berankis, to advance to his first tour-level final since April 2015.

[10] At the Australian Open, he was eliminated from the tournament in the first round by American wildcard Stefan Kozlov.

123 at the time, Veselý qualified for the Dubai Championships by defeating Hady Habib and Alexei Popyrin.

14, Denis Shapovalov, in three sets to reach his first ATP 500 final claiming his third top-20 win in the tournament.

[24] At the Grand Prix Hassan II in Marrakesh, he retired in the third set during his first-round match against Malek Jaziri.

Seeded second at the Championnats Banque Nationale de Granby, he was defeated in the first round by American qualifier Aidan Mayo.

He won his first ATP tour level match after his return at the 2023 Wimbledon Championships defeating 22nd seed Sebastian Korda also with protected ranking.