Purpose of Study: In this paper, institutions of agreements (mediation) in criminal proceedings in various states were investigated regarding the history of their occurrence and development. The aspects under the study included features related to the use of institutions of agreement in individual countries (USA, Canada, Germany, Russia, Moldova, etc.); the regulatory framework of these countries, statistics on the use of institutions of agreements (mediation), as well as programs used as mediation. Methodology: In the present study, general scientific, as well as special methods and provisions of dialectics were used. In the course of the study, private scientific methods were also used including historical-legal, formal-legal, formal-logical, systemic, and comparative. Results: Currently, the new legal institution of agreement (mediation) is actively developing in the global legal system, contributing to resolving the conflict without holding a trial and just by holding peace negotiations and concluding an agreement with the accused. This institution was initially established in countries with the Anglo-Saxon legal system (USA, UK), and then was developed in countries with a continental legal system (RF, Moldavia, Kazakhstan). Implications/Applications: The mediation is considered to be a convenient approach for resolving conflicts, since it is built on the mutual agreement of two confrontational parties, and it will continue to further develop worldwide and will be included in the legislation of those countries where it has not been fixed yet.