Stiborová was born in 1950. She studied Chemistry at Charles University and became a lecturer at the university. She joined the Communist Party in 1976 and became a member of Parliament in 1986. The Communist Party nominated her for the president of the Czech Republic in 1993.[8] She lost to Václav Havel.
Stiborová left the Communist Party in 1993 and established Left Bloc.[9] She left politics in 1997.