The article presents some approaches to the theory of acmeology of education based on research carried out by B. G. Ananiev. The purpose of the study presented in the article is to give theoretical understanding of the phenomenon of education, relying not only on the achievements of pedagogy, but other sciences about a human, and, above all, psychology and acmeology. It has been shown that acmeology, as the science of creative potential self-realization on the way to the peaks of productivity, cannot bypass a problem of the development of human subjectivity.