The paper specifies the definition of “competence” of executive managers and positional, professional and social types of the general system competence are separated. The communicative competence structure in managers at higher educational institutions for realizing communicative interaction of participants of the professional training educational process is concretized by methodological content components of administrative management, namely administrative-organizational managerial system relations (descending potential of indirect administrative-organizational communication of a policy of higher educational institutions, coordination-subordination architectonics of the “administrative apparatus”, ascending potential of administrative effect at organizing institutional projects), internal system relations (descending administrative-organizational communications of a political strategy of higher educational institutions, potential of ascending administrative-organizational communications for modernization of educational-scientific university systems) and external system relations (sphere of external interaction and system analysis of modern scientific data as to a qualitative external condition of higher educational institutions, world community access to administrative-organizational communication of higher educational institutions with self-government bodies). There are separated communication types of coordination-subordination architectonics of institutional organization of higher educational institutions: administrative-organizational, managerial and process-organizational communications; a structural-logic scheme of mutual influence in contents - administrative-organizational managerial system, internal and external system relations in the “aim tree” of administrative regulation for effective educational policy and quality policy by means of administrative-organizational communications and at realization of the communicative competence of managers at higher educational institutions is projected in the author modification