The article presents an analysis of external and internal assessment of the quality of higher education of Eastern European countries experience, namely Poland and Romania. These countries are close to Ukraine not only geographically, but also have a common socio-historical background. In particular, we consider it promising to introduce experience of these countries, since they have recently been successfully integrated into the European Higher Education Area, and Ukraine is still confidently following this path. The article presents the external quality assurance structure of higher education on the example of Romania, namely the organization, mission, tasks, activities of the Romanian Agency for Quality Assurance of Higher Education (ARACIS), is extremely relevant in the period of Ukrainian Agency for Quality Assurance of Higher Education formation. Concerning the assurance of internal quality of education, the article presents experience of Poland – analyzes the requirements for internal quality of education, standards, the activities of Polish Accreditation Commission.