In article it is accented that the constitutional jurisdiction is one of the main functional components of judicial authority, and justice acts as other such component. The main content of the constitutional control is an establishment of constitutionality of certain acts of the right by authorized public authority. However in the majority of the countries it covers also the solution of other questions in this connection the general content of the constitutional control in the different countries can differ. The analysis of evolution of legal regulation in the respective sphere, and also processes of formation of institutes of the constitutional control in Ukraine is offered. It is specified unacceptability of the existing dependence of the constitutional jurisdiction on the so-called political power.