The transformation of science in one of the leading productive forces of industrialized countries in the second half of the 20th century under the influence of deployment of scientific-technical revolution objectively gave impulse to the development of production automation and informatization of modern industrial economies. As a result, complexes of service industries have been developing in the economies of the industrialized countries. Science-intensive services and high-end technologies started developing in the structure of these complexes at the beginning of the XXI century. The fact that science-intensive services complexes have become leading branches of GNP of industrial countries has increased the role of intellectual innovative factors in competitive struggle. Science-intensive goods and services, intellectual property, complex intangible assets become special strategic competitive competencies (abilities) of business (firms), corporate, national economic systems in the competitive environment of the market economy. Models and systems of the management of economies are playing a key role among the present strategic competitive competencies in the mechanism of competitiveness of an enterprise, corporation, national and regional economies. Thus, the aim of the study is to extend the comprehension of digital economy as an economic system where technological restructuring develops competitive competences of cyber-physical organizations that create modern management models corresponding to competitiveness features in high-tech manufacturing. The research is based on the following methods: study and generalization, analysis and synthesis, system approach, combination of historical and logical approaches, methodological tools of management theory. The study has substantiated that the assimilation of cyber-physical technologies by organizations in industrial countries is accompanied by the competitiveness increase among the countries and companies for more profitable spheres of capital investment and impact, sales markets, technological resources. Moreover, the assimilation stimulates the transition to digital economy. The competitive struggle is accompanied by the relative decrease of importance of low natural competitive advantages and by the increased role of high innovation competitive ones. In its turn it demands the development of corresponding high innovation competitive advantages of firms, corporations, national economies considering cyber-physical technological restructuring. Innovation models of management systems of cyber-physical organizations become key factors among the high competitive advantages of countries and companies. Besides the studies devoted to perspectives and challenges of the transition to digital economy should consider breakthrough in new technologies and production types and should aim at dialectical interrelation of success of their development with corresponding modernization of systems of the organization and management of these technologies and productions taking into account competitive struggle. Keywords competitiveness, competitive advantages, strategic competitive competences, cyber-physical organizations, management models, digital economy, fourth industrial revolution, technological restructuring, high-tech manufacturing, digital economic system. Acknowledgements The study was financially supported by the RFFI in the framework of scientific project No. 18-001-00001 “Development of management model of cyber-physical organizations” and according to the public task of Federal Agency for Scientific Organizations to Institute of Economics of the Ural branch of the Russian Academy of Science for 2018.