The article considers the mechanisms for fighting transnational crime and international cooperation in accordance with the United Nations Convention against Transnational Organized Crime and identifies the main factors that complicate international cooperation processes to combat transnational crime. The authors emphasize that international cooperation in the fight against crime is key to the success and guarantee of international security. The main objectives of the article are to carry out a comprehensive analysis of the concept of "organized crime" in accordance with the United Nations Convention against Transnational Organized Crime, to determine the corpus delicti, as well as to improve International Law to combat transnational crime. In the article the following methods are used: induction, deduction, analogy, as well as historical, dialectical, formal-legal methods. The article provides us with the complex results related to the key mechanisms of international cooperation according to the United Nations Convention against Transnational Organized Crime.

Today, the act of enforced disappearance is represented as the most serious violations of people's rights. Enforced disappearances are particularly common in countries where domestic conflicts occur. With the essential objective of stopping and preventing the practice of international and national enforced disappearances, most countries since the 1950s had begun to discuss international and regional tools for such interference. The crucial measure to prevent enforced disappearance was to sign the Convention for the Protection of All Persons from Enforced Disappearance at the international level, which represented and established an absolute right of person not to be subjected to violent disappearance. This article will describe the main ideas of the 2006 Convention together with the key description of the crime, will analyze some problems of practical application of the Convention, and last, but not least, will discuss the prospects for the implementation of the 2006 Convention. To achieve this purpose, were used: Dialectical, historical, formal, logical, deductive, statistical, hermeneutical, comparative and logical-legal methods.

The present research paper describes the most traditional ways of Implementation of Rome Statute. The main section of the paper concerns the effect of adopting Core crimes in different countries as well as determine key way of such implementation and its practical results. Such description aims to comprehend and compare the practical questions which arise in the prism of implementation of International Crimes, as well as find good practical answers which are based on states’ experience. Most issues, which will be introduced in this article should answer following important questions: first is whether the states have to implement international regulations on genocide crimes, terrorism, war crimes with crimes against humanity, and second question is arisen due to the definition of International Crimes in national laws. At main part of the research, we discuss the national legal background to implement the regulations of Rome Statute, as a part of International law, as well as analyze foreign countries experience in this direction. In this legal research, three categories of methods were used: philosophical methods, general scientific methods and legal methods. All the methods, including dialectic method, method of analysis and synthesis, historical, sociological and comparative, the method of the general theory of scientific knowledge of social and legal phenomena, as well as, method of systematic analysis, comparative legal method, and logically legal method were used to consider the most traditional ways of Application of the Rome Statute in domestic laws together with all the regulations of international law in general.

Today, the boundaries of international crime involving states and transnational organized crime are slowly blurring, and as a result, the number of international crimes is steadily growing. The article analyzes two key groups of crimes: crimes indicated in the Rome Statute and transnational crimes under international conventions. This article is based on the analysis of the main groups of crimes: the first group of international crimes committed with state actors, which includes crimes against humanity, war crimes, crimes of aggression, crimes of genocide; and the second group, crimes committed by criminal groups organized in more than one country with the "international" or "transnational" character of such acts. The authors emphasize the norms of international law, according to which the International Criminal Court, together with international criminal tribunals, have jurisdiction over a small range of key international crimes, including genocide, war crimes and crimes against humanity, aggression, committed by state officials. The main objective of this research is to compare the mechanism for investigating crimes in the jurisdiction of international criminal tribunals and the International Criminal Court, together with the national procedure for investigating transnational crimes, through the ratification of international conventions and the establishment of the International cooperation. The article was made with the following methods: induction, deduction, analogy, as well as historical, dialectical and formal legal methods.