At present, the problems of improving the management of cluster structures in the industrial regions of Ukraine, taking into account the best international experience in accordance with modern challenges related to smart specialization, modernization of production and digitalization of organizational and managerial processes. In this regard, the article analyzes and summarizes the international practice of development of cluster structures in order to further develop proposals for its possible application in the modern conditions of the regional economy of Ukraine. As a result of the research it was established that the current legislation of Ukraine does not pay due attention to the creation and functioning of cluster structures. Therefore, the definition of the terms "cluster" and "clustering" at the legislative level remains an urgent issue. General provisions on clusters as a territorial association of enterprises should be included in Chapter 12 of the Commercial Code of Ukraine, and the specification of their legal status should be set out in a special Law of Ukraine "On Cluster Associations of Enterprises". In this case, the content of the legislation on clusters should be formed taking into account the fact that cluster relations have a specific organizational and legal nature and can operate both with the rights and without the rights of a legal entity, using other organizational and legal forms of associations, and and without them. It is necessary to make changes and additions to the Concept of creating clusters in Ukraine, Regional Development Strategies until 2027 and Action Plans for their implementation for 2021-2023 on the creation of cluster structures as a business entity. It is expedient to develop and approve the Concepts of cluster policy and the Target Program "Formation and development of clusters in the regions of Ukraine for 2021-2023", which should provide for the creation of clusters as a special type of enterprise associations in various fields and taking into account regional specifics.