The person-centered, integrative and project approaches form the basis of the presented technology of teacher reflexive competence development in modern conditions. The article reveals the essence and the basic components of the teacher reflexive competence, describes the implementation of an exemplary algorithm of reflexion in practice, marks the teaching strategies of teacher reflexive competence development, proposes the main stages and pedagogical conditions of its development. The article can be useful to students, teachers of high educational institutions and additional vocational education institutions in the process of teacher reflexive competence development in modern conditions.