This paper discusses the direct access to constitutional jurisdiction for protection of fundamental human rights - a remedy that is expressly provided for in the Constitutions of many countries, members of the Venice Commission and ECHR Convention. The indirect access of litigants to the Constitutional Court of the Republic of Moldova does not satisfy the requirements of an efficient internal remedy according to Art.13 and Art.35 of the ECHR Convention, taking into consideration the existing limits in raising the exception of unconstitutionality by affected entities and the leverages that may be applied by the body of constitutional jurisdiction to determine appropriate satisfaction in order to redress the infringement of the right guaranteed by the Constitution. The author supports changes to the Constitution of the Republic of Moldova aimed at ensuring the direct access for individuals to constitutional jurisdiction and expanding the remedies disposed by the body of constitutional jurisdiction for protection of rights and liberties consecrated in the Constitution.