This paper analyzes the power of the Constitutional Court of the Slovak Republic (hereinafter only as “Constitutional Court”) to provide legal interpretation of the Constitution 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 proceedings is fulfilled. The author further states that even after the judgement of the Constitutional Court, the appointing powers of the president in cooperation with other constitutional bodies remain an open problem.