Bouzková rose to prominence following her run to the semifinals at the 2019 Rogers Cup where she defeated Sloane Stephens, Jeļena Ostapenko, and Simona Halep, before falling to Serena Williams but she pushed the former world No.

She won her maiden WTA Tour title in doubles, partnering fellow Czech Lucie Hradecká, at the 2021 Birmingham Classic.

She moved to Florida at age ten – initially trained at Bollietieri Academy for two years, before continuing to work with her dad and then Requeni from 2014.

Besides Czech, she speaks some German, fluently English, and Spanish, and received her bachelor's degree in business administration with a minor in sports marketing and management through Indiana University East in 2022.

[3] Bouzková started playing as a senior in April 2013, at the WTA Tour tournament Katowice Open where she was handed a wildcard for qualifying but lost in the first round to Katarzyna Piter.

For the second year in-a-row, she received a wildcard for the Katowice Open qualifying but again missed her WTA Tour main-draw debut.

In early October, she won her first title at Hilton Head by defeating Natalia Vikhlyantseva in straight sets.

Thanks to a wildcard Bouzková finally made her WTA Tour main-draw debut at the 2015 Mexican Open in Acapulco, losing to Sesil Karatantcheva in the first round.

In addition, she won another title at Grand Baie La Croisette, her only played tournament in doubles that year.

A month later, she won the title at Puszczykowo, defeating Valeria Savinykh in the final, not dropping a single set during the tournament.

After an early loss in the following week at the $60k Launceston International, she won the title at Perth ($25k) defeating compatriot Markéta Vondroušová.

[11] During the year, she advanced to only one final, at the $25k Irapuato tournament in February, and won the title by defeating Kristína Kučová.

For Bouzková season started at the Brisbane International where she passed qualifying, and in the first round faced Samantha Stosur.

At the US Open, she made her main-draw debut in a major tournament without playing qualifying; however, she lost her first-round match to Ajla Tomljanović.

Playing at the Australian Open for the first time in the main draw, she was stopped in round one by defending champion, Naomi Osaka.

In June, she won her maiden WTA Tour title in doubles at the Birmingham Classic, partnering compatriot Lucie Hradecká.

[citation needed] Partnering Sara Sorribes Tormo, she won the doubles title at the İstanbul Cup, defeating Natela Dzalamidze and Kamilla Rakhimova in the final.

[citation needed] At the WTA 1000 Guadalajara Open, she reached quarterfinals only for the second time at this level, defeating Liudmila Samsonova.

[26] She reached the fourth round of the WTA 1000 Italian Open for the first time, defeating sixth seed Coco Gauff for her third top-5 win.

[27] In the same tournament, on her debut in doubles, she reached semifinals, alongside Bethanie Mattek-Sands, using protected ranking.

[28] Bouzková and Sorribes Tormo won their first WTA 1000 tournament at the China Open, defeating Giuliana Olmos and Chan Hao-ching in the final.

The incident sparked controversy and criticism of opponents Bouzková and Sara Sorribes Tormo, who argued for the disqualification.

Former player Gilles Simon criticized Bouzková's and Sorribes Tormo's actions, and some suggested they should face consequences for escalating the situation and lying about their role in calling for the default.

[30] She reached the final at the Washington Open defeating three Americans, qualifier McCartney Kessler, Taylor Townsend and wildcard Robin Montgomery, and then upset top seed Aryna Sabalenka, before ultimately losing to Paula Badosa in three sets.