Public administration from Republic of Moldova deals with a set of bureaucratic problems that are related to the stability and continuity, rigidity, in which the formalism substitute public interest, and in this way various conflicts become more possible. The mediation of conflicts is an important mechanism for the modernization of the public administration through the fact that people (citizens or officials) and public institutions are in the foreground. The European experience in mediation the conflicts and disputes between government and private parties is quite relevant. Since 2005, common efforts have been directed to the implementation and development of juridical instruments and to the European legal cooperation mechanisms, to the modernization of the administrative activity, including mediation. Government and administrative authorities have a central role in promoting the use of mediation, whether this relates to individual administrative acts, contracts, civil liability or other contentious issues. The applicability of mediation depends on the awareness of its effects at the moment and in future and on the modernization and reformation of the public administration.