 She is married to the director of Cinderella on Ice, Jindřich Šimek, with whom she has a daughter, Klára.Kovaříková teamed up with René Novotný in 1988.They won the 1989 Prague Skate and took bronze at three events – the 1989 Nebelhorn Trophy, 1989 Grand Prix International de Paris, and 1989 Skate Electric.