This investigation is focused on two objectives: 1) explaining the relationship between quality management and performance management in higher education; 2) evaluating the existing quality management systems in the higher education institutions of the Republic of Moldova. In order to accomplish the first objective, a comparative theoretical analysis of the quality management and performance management was carried out in terms of common aspects and distinctive peculiarities. Consequently, it was reasoned that the performance management system of a higher education institution is created and functions on the basis of the quality management system by extending the area of the quality objectives to the level at which they will ensure performance or, in other terms, by moving towards excellence. In order to achieve the second objective, an opinion survey for the teaching and managerial staff from 6 universities was carried out. As a consequence of processing the obtained results, there were identified problems related to the functioning of the quality management systems. The investigation resulted in the formulation of a set of recommendations for the higher education institutions of the Republic of Moldova in order to increase the efficiency of the quality management systems functioning and thus to ensure an efficient management.