The trends in the formation, development of the quality assurance system of education, reveals the prerequisites for the creation and theoretic-pedagogical basis of the formation of the quality assurance system of education, and the history of the development of mechanisms to ensure the quality of higher education are considered in the article. The world integration processes, the international practice of forming a national system for ensuring the quality of higher education are considered. The chronology of reforms and transformations taking place in the field of education is also given. Based on a comparative-historical analysis of the formation of the quality assurance system of higher education in European countries, two periods are identified and characterized: the period before the Bologna processes; period - after the Bologna processes. Based on the analysis of world experience, the division of the existing systems of assessment of higher education into different types is shown.