The development of health-preserving competence of primary school teachers in the system of postgraduate pedagogical education is the research object. The research aim is as following: to scientifically substantiate and experimentally test the effectiveness of pedagogical conditions and the structural and functional model of health-preserving competency development of basic secondary school teachers in the system of postgraduate pedagogical education. Research methods: analysis, generalization, comparison, systematization, questionnaire, survey, conversation, pedagogical observation, testing, modeling, interviews, pedagogical experiment, methods of mathematical statistics. For the first time pedagogical conditions of the health-preserving competency development of basic secondary school teachers have been defined and theoretically substantiated (providing resistant motivation for the health-preserving competency development of basic secondary school teachers; the creation of health-preserving surroundings for the continuous of health-preserving competency development in the system of postgraduate pedagogical education; forming subject-to-subject interaction between the lector and the basic secondary school teachers by means of training technologies; providing the connection between the theoretical knowledge and practical skills for their implementation in professional activities); the structural-functional model of the health-preserving competency development of basic secondary school teachers in the system of postgraduate pedagogical education has been developed and theoretically grounded, which includes such interconnected structural components as: the target block (social order, purpose, characteristics of the health-preserving competency development of basic secondary school teachers in the system of postgraduate pedagogical education); the theoretical and methodological block (scientific approaches and principles of training); the operational-content block (stages of development, forms, methods, means); the criterion-evaluative block (components, criteria, levels of the health-preserving competency development of basic secondary school teachers), effective blocks (result) and pedagogical conditions. The essence of the concepts “health-preserving competency of basic secondary school teachers”, “health-preserving competency development of basic secondary school teachers in the system of postgraduate pedagogical education” have been clarified. The content, forms, methods of the health-preserving competency development of basic secondary school teachers in the system of postgraduate pedagogical education have been improved. The structure of health-preserving competency of basic secondary school teachers as a system containing motivational, cognitive and active components has been specified. The theoretical and methodological foundations of the health-preserving competency development of basic secondary school teachers in the system of postgraduate pedagogical education gained further development.