In this article an attempt to systematize the existing approaches to the assessment of quality of training students of technical universities in various countries is made; features of the assessment result of students' learning common for the whole system of higher education in Europe and the United States are identified; differences in the quality assessment result of training technical university students in foreign countries are also discussed. The relevance of the research is determined by the features of the organization and trends in the development of quality assessment of student training results, which is one of the most important aspects of managing the development of the higher education system. The choice of methods for its implementation directly affects all aspects of university activities in general, and largely determines the quality of educational services. The purpose of the article is to study and analyze existing approaches to assessing the quality of training results of technical university students abroad. It is established that the assessment of the quality of students' training results in Russia requires transformation of our mentality in determining the content of education. The presented results and conclusions of the study make it possible to formulate recommendations for assessing the quality of student training results in the system of professional education in Russia and promote the creation of a unified system for assessing the quality of higher education, which contributes to increasing the prestige of Russian higher education and its integration into the international scientific and educational space.