The problem of the perfection of man has long been the fundamental pursuit of philosophical systems and religions. In this article, we examine the way the problem is handled in the thoughts of the two important names in the history of philosophy; Plato and Al-Farabi. As the problem is ultimately the human problem, the issue, based on ontology and epistemology, can cover anything from physics to metaphysics, from morality to politics, from religious belief and understanding to education. In the systems of both philosophers, an attempt is made to solve the problem within the context of politics and through the leadership of the virtuous perfect philosopher. This examination, based on the thoughts of these two philosophers, of the way the question of the possibility of ultimate perfection of the individual and the society had been answered in ancient Greek and classical Islam thought, preserves its meaning and relevance today