The article discusses the content of the phenomenon of “acme”, it identifies “open questions”, the lack of answers to which hinders its study (temporal parameters of acme, the degree and nature of integration of human qualities, uniqueness and stability of mental structures, the role of environment and the nature of involvement of human activity in the activities of social groups, etc.). The purpose of the article is to raise questions of searching for and identifying spatial and tempora parameters of how the phenomenon of “acme” is manifested.