The article examines some basic tenets of the so-called Straussian school in the context of the profound intellectual legacy of its founder. Leo Strauss had fled from Nazi Germany in the 1930. and after being naturalized in the US he emerged as an outstanding teacher in political science, especially at the University of Chicago. While he was mainly concerned with the most complicated issue of the relation between philosophy and Law, i.e. the life entirely devoted to the search for wisdom on the one hand and the political life thoroughly based on the religious authority on the other hand, and thus hardly understood by his fellow scholars, he gained an almost unlimited admiration from his students. The emergence of the Straussian school appears to be a result of a deliberate action of Strauss who wanted to establish a way of access to the core of his thinking. Having taken into consideration how seriously is the Straussian school differentiated, we should reflect upon a degree to which the pupils of Strauss have managed to live up to the intellectual challenge posed by their master.