Kučová has won seven singles and four doubles on the ITF tour in her career. On 3 August 2009, she reached her best singles ranking of world number 103. On 5 October 2009, she peaked at world number 168 in the doubles rankings.
Kučová was an accomplished junior player, having won the Girls' Singles title at the 2007 US Open and reaching a combined career-high junior ranking of world number 3 on 10 September 2009.
Kučová's elder sister Zuzana is also a tennis player, having retired from the professional tour in 2013.
At the 2007 US Open – Girls' Singles, the unseeded Kučová took the title, defeating thirteenth seed Julia Glushko in the third round, top seed and defending champion Anastasia Pavlyuchenkova in the quarterfinals, and number two seed Urszula Radwańska in the final. In addition to this, Kučová reached the 2007 Wimbledon Championships and 2007 French Open girls' doubles quarterfinals. Both times, Kučová was seeded seventh, however, she reached the French Open quarterfinals with compatriot Klaudia Boczová, losing to eventual champions and third seeds Ksenia Milevskaya and Urszula Radwańska. She reached the Wimbledon quarterfinals along with compatriot Lenka Juríková. The seventh-seeded Slovak pair lost to eventual runner-ups Misaki Doi and Kurumi Nara.
She started off the year in the qualifying for Sydney where she lost to Misaki Doi 6-4 6-3, then she lost in the first round of qualifying for the Australian Open to Paula Kania 4-6 7-5 6-2. She lost in qualifying for Doha to Mirjana Lucic-Baroni 7-5 6-4 and also in Dubai where she lost to Flavia Pennetta 3-6 6-1 6-4. She managed to qualify for Katowice and then beat Monica Niculescu 6-1 6-1 in the first round before losing to Alize Cornet 6-3 4-6 6-3. She lost in qualifying for the French Open to the wildcard Irina Ramialison 6-1 6-0 and in qualifying for Wimbledon to Maryna Zanevska 6-4 4-6 6-3.
She reached her first WTA Semifinal at Bucharest by beating Anna Schmiedlova 6-3 6-3, Cristina Dinu 6-2 6-3 and Danka Kovinic 6-4 1-6 6-3 then she lost to Roberta Vinci 6-1 6-3 in the semifinals. She won a $50,000 in Sobota/Rokietnica in Poland by beating Sesil Karatantcheva 1-6 7-5 6-3. She won a $25,000 event in Fleurus, Belgium by beating Evgeniya Rodina 6-3 6-4 in the final. She lost in the second round of qualifying in Linz to Anna-Lena Friedsam 7-5 6-0 and in the first round of qualifying for Limoges to Katarzyna Piter 6-2 6-4.
Singles: 18 (7–11)
|Runner–up||1.||20 April 2007||Hvar, Croatia||Clay||Karolina Jovanović||1–6 4–6|
|Winner||2.||14 May 2007||Michalovce, Slovakia||Clay||Katarzyna Piter||2–6 6–3 6–4|
|Runner–up||3.||25 May 2008||Galați, Romania||Clay||Valentina Sulpizio||2–6 6–7(2)|
|Runner–up||4.||10 August 2008||Hechingen, Germany||Clay||Maša Zec Peškirič||6–3 6–7(1) 3–6|
|Runner–up||5.||7 September 2008||Maribor, Slovenia||Clay||Maša Zec Peškirič||2–6 6–7(6)|
|Runner–up||6.||29 March 2009||La Palma, Spain||Hard||Anastasija Sevastova||6–4 1–6 1–6|
|Runner–up||7.||5 June 2009||Pozoblanco, Spain||Hard||Angelique Kerber||3–6 4–6|
|Runner–up||8.||6 June 2010||Brno, Czech Republic||Clay||Zuzana Ondrášková||3–6 6–4 2–6|
|Runner–up||9.||26 September 2010||Bucharest, Romania||Clay||Mădălina Gojnea||4–6 4–6|
|Winner||10.||18 June 2012||Alkmaar, Netherlands||Clay||Janina Toljan||6–3 6–4|
|Winner||11.||8 July 2012||Denain, France||Clay||Michaela Hončová||6–2 1–6 6–2|
|Runner–up||12.||30 June 2013||Zlín, Czech Republic||Clay||Melanie Klaffner||3–6 2–6|
|Winner||13.||28 July 2013||Les Contamines, France||Clay||Clothilde de Bernardi||7–5 6–7(3) 6–3|
|Winner||14.||18 August 2013||Craiova, Romania||Clay||Alberta Brianti||7–5 3–6 6–4|
|Runner–up||15.||15 September 2013||Sofia, Bulgaria||Clay||Patricia Mayr-Achleitner||2–6 6–1 3–6|
|Runner–up||16.||26 October 2013||Herzliya, Israel||Hard||Yuliya Beygelzimer||3–6 6–4 2–5 ret.|
|Winner||17.||27 July 2014||Sobota, Poland||Clay||Sesil Karatantcheva||1–6, 7–5, 6–3|
|Winner||18.||31 August 2014||Fleurus, Belgium||Clay||Evgeniya Rodina||6–3, 6–4|
|Outcome||No||Date||Tournament||Surface||Partner||Opponents in the final||Score|
|Winner||1.||17 March 2007||Cairo, Egypt||Clay||Zuzana Kučová|| Melissa Berry
|6–7 (3) 6–4 6–3|
|Winner||2.||20 May 2007||Michalovce, Slovakia||Clay||Klaudia Boczová|| Olga Brózda
|7–5 4–6 6–3|
|Runner-up||3.||11 May 2008||Jounieh, Lebanon||Clay||Stefanie Vögele|| Nina Bratchikova
|5–7, 6–3, [6–10]|
|Winner||4.||25 May 2008||Galați, Romania||Clay||Valentina Sulpizio|| Alexandra Cadanțu
Antonia Xenia Tout
|Runner-up||5.||3 May 2009||Johannesburg, South Africa||Hard||Anastasija Sevastova|| Naomi Cavaday
|2–6 6–2 [9–11]|
|Winner||6.||14 June 2009||Zlín, Czech Republic||Clay||Zuzana Kučová|| Nikola Fraňková
Fed Cup participation
|2008 Fed Cup
World Group II Play-offs
|P/O||27 April 2008||Bratislava, Slovakia||Uzbekistan||Clay (i)||Vlada Ekshibarova||W||6-1, 2-6, 6-4|
|2010 Fed Cup
World Group II
|R/R||7 April 2010||Bratislava, Slovakia||China||Hard (i)||Han Xinyun||L||1-6, 1-6|
|2014 Fed Cup
World Group Play-offs
|P/O||19 April 2014||Quebec City, Canada||Canada||Hard (i)||Eugenie Bouchard||L||6-7(0-7), 6-2, 1-6|
|2010 Fed Cup
World Group Play-offs
|R/R||28 April 2006||Bratislava, Slovakia||China||Hard (i)||Dominika Cibulková|| Lu Jingjing
- "Kristina Kucova". Retrieved 27 July 2014.
- Kristína Kučová at the Women's Tennis Association
- Kristína Kučová at the International Tennis Federation
- Kristína Kučová at the Fed Cup
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