This paper analyzes the power of the Constitutional Court of the Slovak Republic (here- inafter only as “Constitutional Court”) to provide legal interpretation of the Constitu- tion or of constitutional acts, to ensure the solution of disputes between governmental bodies applying the Constitution of the Slovak Republic. The analysis of the individual decisions confirms that it is not possible to determine that the purpose of these proceed- ings is fulfilled. The author further states that even after the judgement of the Constitu- tional Court, the appointing powers of the president in cooperation with other consti- tutional bodies remain an open problem.