The Fourth Industrial Revolution affected all spheres of life, as well as the museum sector. The prevalence of public relations on the creation of 3D models of museum items is combined with the fragmentation and inconsistency of their legal regulation. The study of the civil law regime of 3D models of museum items requires determining the place of the object in the system of civil rights; the list of persons empowered to create such an object and the scope of their rights; the means of protecting the rights to such an object. The analysis of current Russian legislation and law enforcement practice has revealed inconsistencies between the provisions of the institute of intellectual property and the norms regulating relations involving museums and cultural institutions. It is proved that the law enforcement position on the priority of "museum law" over copyright law has insufficient normative and theoretical basis. The author suggests ways to achieve a balance of interests of society, copyright holders and museums in this area.