English summary: The author examines the basic principles of the extent of state penal power as well as the causes and legal facets of criminal jurisdictional conflicts. The study shows that Framework Decision 2009/948/JI fails to satisfactorily protect the legal interests of individuals but also of the EU member states, and is unable to fulfil the requirements of the area of freedom, security and justice. The study presents a draft model for the distribution of responsibilities among the EU member states. The aim of the model is the foreseeable determination of the criminal legislation...