Čepelová has won five singles and three doubles titles on the ITF tour in her career. On 12 May 2014, she reached her best singles ranking of world number 50. On 18 May 2015, she peaked at world number 158 in the doubles rankings.

Čepelová's best result at a major was the third round of the 2012 and 2016 Wimbledon Championships. As a junior, she won the girls' doubles event at the 2010 Australian Open with Chantal Škamlová.

Čepelová was born in Košice to Peter and Jarmila and is currently coached by Martin Zathurecký.

Jana Čepelová and Chantal Škamlová won girls' doubles at 2010 Australian Open. They also won silver medal in doubles at 2010 Summer Youth Olympics. At the same event, Čepelová won bronze medal in singles.

Čepelová spent most of her 2012 year on the ITF Tour. Her best achievement on the WTA Tour was at the 2012 Wimbledon Championships. She qualified for the main draw by defeating Alla Kudryavtseva, Chanel Simmonds and Ekaterina Bychkova in qualifying. In round one, she beat fellow qualifier Kristina Mladenovic in three sets. In the second round, she upset 26th seed Anabel Medina Garrigues. In the third round, she lost to world number 2 Victoria Azarenka.

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