The relevance of the study is determined by the need to develop teachers’ inclusive competence in the system of postgraduate education. The article analyzes inclusive competence as a component of the professionalism of a modern teacher. The main attention is focused on the analysis of the peculiarities of the organization of the educational process at the Postgraduate Education Centre in the scope of formation of teachers’ inclusive competence. The content of educational programs has been revealed. The effectiveness of the implementation of the acmeological approach in the formation of inclusive competence of students of advanced training courses has been proved. In the practical section of the research it has been established that the developed educational programs not only contribute to the formation of inclusive competence, but also stimulate self-educational activities.