This article is devoted to practical aspects of the implementation of the declared in the process of the European Union formation task to create a common space of freedom, security and justice. Authors promote the position that this task requires thorough and careful study of the phenomenon of «European Law» and European values, which are the basis of the legal system. In the article it is confirmed that a fundamental feature of the European law is a very strong axiological component. Researchers prove that learning of the European Union’s principles of law in the system of preparation of the interdisciplinary specialists creates preconditions to the form the corps of politicians, managers, experts in various life fields, whose professional activity is based on European values. The authors confirm that the catalyst to spread knowledge about law principles and values of the European Communities and the European Union should be special education programmes, supported by the EU institutions.