The task of a work is to search and report on Hannah Arendt's conception of a maturity. This topic emerges in her work at describing her great issue, common crisis of modern world, which ended up in a totalitarian 20th century systems, how she declares at her papers Between past and future. This problem of philosophical anthropology and philosophy of education (Hannah Arendt didn't consider herselves as a philosopher or educationalist however) consecutively we must observe in broader context of her basic and the most systematic work The Human Condition, which can give us a Arendt's philosophical and political thinking concepts and terms. At rudimentary parts of the thesis we deal with her topic of break of tradition, which lead to mulling over basic pillar columns of tradition, commenced at ancient Rome, at first rate history, then religion, freedom, culture, authority, education. On the last one is visible her understanding of maturity. We are reporting problem of personality at her thinking likewise, which was influenced by phenomenology. Centrum of personality is "Who", unknowable to himself, disclosing sensually to other threw action and speaking so that in action in adulthood.