Birnerová, who prefers grass courts, began playing tennis at the age of four under the guidance of her father, Stanislav Birner , who was also a professional tennis player. In 1998 she took part in ITF tournaments, and in 2002 she made her debut on the WTA Tour . In 2002 and 2003 she played a double game for the Czech Fed Cup team , which she lost both.
In singles, she moved into the 2011 WTA tournament in Tashkent in the final, which she lost to Xenija Pervak with 3: 6 and 1: 6. At the Australian Open and the French Open , where she reached the round of 16 in 2005, she was eliminated in the first round in 2012; in Wimbledon and at the US Open she failed each in the qualification. In 2013 she drew attention again at Wimbledon , where she was eliminated in three sets against Mónica Puig in the third round .
She played her last match in August 2014 at an ITF tournament in Hechingen , where she gave up at the beginning of the second set after losing the first set.