As a lawyer, Burešová worked in labour law. Her motto was "Cowardice should be a criminal offence." She defended over 100 people who lost their jobs or were persecuted after the Warsaw Pact invasion of Czechoslovakia in 1968. She also later defended writer Milan Kundera, Ivan Medek, who later served under Czech Prime Minister Václav Havel, , and Libuše Palachová, the mother of Jan Palach. Palachová wanted to posthumously clear her son's name after lies from Communist Party of Czechoslovakia member about Palach's death. After defending Palachová, Burešová was watched by the StB. The case was featured in the 2013 three part miniseries "Burning Bush".