Currently, one can observe the process of active economic integration and cooperation, in the post-Soviet space. This is possible due to mutual economic and political interests, ensuring the protection of the interests of national producers, and obtaining competitive advantages of domestic goods in comparison with similar products of Western European and Asian manufacturers. The solution to all these problems is facilitated by the creation of a single international organization of the post-Soviet space the Eurasian Economic Union (EAEU), the territory of its member states already constitutes a single customs space. Activities of the EAEU are associated with the adoption of a significant number of regulatory international legal acts. Implementation of these acts will be satisfactory only if the EAEU member states properly implement it in the national legislation. At present, several types of implementation of international law provisions in the national legislation of a particular country are distinguished in legislative activity: reception, transformation, referral, incorporation, ratification. Law enforcement practice also deserves special attention, including decisions of international courts binding in a single state. As a result of the study, the most preferred forms of implementation of the EAEU regulatory acts into the national law systems of its participants: Armenia, Belarus, Kazakhstan, Kyrgyzstan and Russia, were established. In addition, it was concluded that it is necessary to unify provisions of the criminal law of the listed states in terms of establishing liability for customs offenses. This decision will positively affect protection of both the interests of individual participants in economic relations and the economic security of each union state.