Problem setting. Modern global challenges have significantly changed the landscape of higher education and intensified the process of its internationalization, the consideration of which has become one of the most discussed scientific problems in the field of higher education. Socio-philosophical understanding of the internationalization of higher education allows us to present it not only as an effective tool for improving the competitiveness of universities, but also as a basis for their social responsibility, a significant factor in improving the quality of higher education. This is extremely relevant to the study of the process of internationalization of higher education in a globalized world. Recent research and publications analysis. The study of the problems of internationalization of higher education belongs to the sphere of scientific interests of both Ukrainian and foreign scientists. Among modern domestic researchers who deal with theoretical and methodological issues of internationalization of higher education and analysis of the peculiarities of internationalization of higher education in Ukraine in the context of global challenges should be noted such scientists as Boychenko M., Verbytska A., Voronkova V., Gorbunova L., Debych M. , Zinchenko V., Kiykov A., Krasovska O., Kurbatov S., Mishchenko M., Nitenko O., Sbrueva A., Sikorska I., Stepanenko I., Terepyshchy S., Shipko O. and others. Significant contribution to the theoretical development of ideas for the internationalization of higher education in the context of globalization has also made foreign scientists ‑ Altbach F., Bergmann H., Branderburg W., Brooks R., Wang M., H. de Wit., Geissler M., Knight J. , Robertson S., Scott P., Hudzik J., Hundt S. et al. Despite the fact that the scientific literature has widely reflected the understanding of various problems of internationalization of higher education, still remain debatable a number of issues that need to be constantly considered. Paper objective. The aim of the article is to study the essence of the concept of internationalization of higher education in modern socio-philosophical discourse; consideration of methodological approaches to the analysis of internationalization of higher education; identifying the prerequisites for the development of internationalization of education in a globalized world; disclosure of the national strategy for the internationalization of higher education in Ukraine. Paper main body. The development of modern higher education takes place in the context of global challenges, among which the most important, as stated in the founding document of UNESCO "Higher Education in a Globalized Society", are: the growing importance of the knowledge society / knowledge economy; development of new trade agreements, which include, inter alia, trade in educational services; innovations in the field of information and communication technologies; the growing role of the market and market economy. To date, according to many scholars, the most comprehensive and scientifically sound of the existing definitions of the internationalization of higher education is the definition given by H. de Wit and F. Hunter. According to them, the internationalization of higher education is a deliberate process of integrating the international, intercultural or global dimension into the purpose, functions and methods of higher education in order to improve the quality of education and research for all students and staff and make a significant contribution to society. Experience shows that in the field of internationalization of higher education there are two institutional models: traditional and complex. The first model includes components such as academic mobility; internationalization of the curriculum; international cooperation in the field of scientific research; partnerships with foreign higher education institutions. The comprehensive model of internationalization of higher education includes academic mobility; internationalization of the curriculum; international cooperation in the field of scientific research; partnerships with foreign higher education institutions; international educational programs of joint / double / multilateral diplomas; branches abroad; online / electronic training courses. Currently, the main ideas of the strategy of internationalization of the market of educational services in Ukraine are: 1. strengthening international competitiveness in higher education and research; 2. active participation of Ukraine in the development of European higher education; 3. expanding the opportunities of Ukrainian higher education institutions to enter the European educational market; 4. positioning Ukraine as a leader in the international market of educational services; 5. expanding opportunities for improving the system of higher education and research infrastructure of universities; 6. development of cross-border higher education. Conclusions of the research. For leading Ukrainian universities seeking to become competitive members of the global education market, internationalization has already become an imperative and has become one of the most important tools for innovative development of higher education in Ukraine, its successful integration into the European and global educational space.