Internationalization serves the purpose of increasing the world rating of an educational institution, contributes to improving the quality of education in general and is one of the main factors in the competitiveness of a technical university in the modern world. The article describes the main directions of the development of this process in the frame of Nazarbayev University experience, the Canadian and Russian experience of research to establish a framework of capacity building for internationalization. This study is carried out during the implementation of the project "Capacity building for the internationalization of a technical university by means of digital learning technologies" (IRN project АP08052214), approved by the priority "Scientific foundations" Mangilik el "(education of the XXI century, fundamental and applied research in the humanities)" grant funding for young scientists for 2020-2022 by the Science Committee of the Ministry of Education and Science of the Republic of Kazakhstan. The author considers different approaches in understanding the process of internationalization, investigates the methodology of benchmarking, the process of internationalization of the university, presents the goal, scientific methods and potential of the project. The primary analysis of the studied works on the internationalization of higher education showed that there were problems in the results of international activities of national and foreign practices and the lack of work on capacity building for the internationalization of technical universities.