Šťovíček graduated from grammar school in 1977 and then worked as a zoologist at the District Museum in North-West Bohemian city of Most.

His greatest political success was the removal of the expropriation clause from the Mining Act - he had earlier pushed for this point in the coalition agreement between ODS, TOP 09 and Věci veřejné and subsequently its passage through parliament (including over-ruling the veto of President Václav Klaus[8]).

People in towns threatened by demolition because of coal mining (Horní Jiřetín and Černice in North-West Bohemia, as well as Karviná - Staré Město in East Moravia) are now thus protected from forced removal.

Opponents of the removal of the expropriation clause in the lower house of parliament (particularly MP Milan Urban) mockingly christened the amendment of the Mining Act "Lex Šťovíček".

In the municipal elections of 2014 Šťovíček defended his position as a town councilor in Litvínov when he led the ticket for Mayors and Independents.