In the development of Bohr's complementarity principle, the paper formulates the complementarity principle with regard to the science of management processes in society, which postulates that, for the purpose of a complete description of a problem situation in society, it is necessary to use two mutually exclusive and, at the same time, complementary sciences, i.e. the classical science of management processes in society and the postnonclassical evergetics, which, together, provide a comprehensive description of the situation as the integrity. Classic management science proceeds from the opposition of subject and object: a man is "removed" from the situation in public life, which he learns "objectively" from the outside, without any admixture of human subjectivity, acquiring abstract knowledge. Unlike classical science but in addition to it, evergetics assumes the superposition of subject and object, i.e. all heterogeneous actors being "inside" the problem situation, experience it, and produce a "living", according to S. Frank, knowledge.