Development of modern society demands from education to provide a quality education that meets both the needs of the education and training of the individual and the society. Achieving this goal is particularly important for the Republic of Moldova and requires the implementation of efficient quality assurance systems and mechanisms in education (educational services), quality meaning competitiveness and prosperity. Starting from the importance of this issue, this paper analyses the dimension of Moldovan higher education, the changes that have occurred within it in recent decades and its impact on the quality of offered services, as well as the approaches to quality assurance; the opportunity of setting up a unique system of quality assurance in education in the country, based on a systemic and comprehensive approach to respond to the needs of the national economy and European policies in the field of higher education quality.