Abstract : The aim of this research is a complex approach at the doctrinal and legislative level in order to create the science of EU criminal law. The guarantee of a good functioning of the internal market and of a good observance of human rights doesn’t lack the national criminal legal frameworks of EU member states of the influence of European Union rules.  The evolution of criminal policy in the EU institutional and legal frameworks established two concepts of criminal regulation of the European area: the European criminal law which is elaborated at the EU level, and the European criminal law which is applicable on the base of European territorial principle. Thus, the EU criminal regulations can be directly executed by the EU institutions and the EU legislation can influence the criminal systems of the EU member States.

Key-words: European Union, Criminal European Law, Criminal Law