There is great interest in present-day leaders in the 21st century because of the widespread belief that the quality of leadership makes a significant difference to universities and student outcomes. There is also increasing recognition that schools require effective leader if they are to provide the best possible management system of higher education institutions. While the need for effective training contemporary leaders is widely acknowledged, there is much less certainty about leadership behaviors that are most likely to produce favorable outcomes. The researcher examines the underpinnings for the field of educational leadership and discuss the evidence of their relative effectiveness in developing successful universities especially during the periods of change. The research paper focuses on the improving of setting standards of training modern administration members in management system of higher education institutions (HEIs) and suggests a standard system for the modern leaders of education institutions according to competence-based approach to re­spond to the current education reform. It is the authors strong believe that training of modern leaders of administrative staff of higher education institutions stimulate social vitality, which itself has an economic impact, drives innovation and productivity growth in global economy.