Holíková was a very successful junior player. In 1985, she won the Wimbledon Championships and reached the final of the US Open. In doubles, Holíková and Radka Zrubáková were the finalists of the French Open, but collected the US Open title. Holíková's professional career was by far less successful. Her highest ranking positions were World No. 67 in singles and World No. 99 in doubles.[1] Her best result in Grand Slam tournaments was the doubles quarterfinals at the 1985 French Open. Holíková did, however, defeat two top ten players, Kathy Rinaldi and Brenda Schultz. At the Spanish Open qualifications in 1985, she defeated then 13-year–old Arantxa Sánchez Vicario, future World No. 1 player.[2]
Holíková won two ITF Circuit titles, one in singles and one in doubles. She also reached two Virginia Slims doubles finals, but never triumphed. Holíková has not competed professionally since 1990. She played her last singles match at the Bausch and Lomb Championships in April 1990, losing to Silvia Farina Elia 6–4, 6–3.
