Competence approach is generally accepted in modern education. Competence is the ability to perform a variety of practical tasks in life and professional activities at a sufficient professional level, which is due to cognitive abilities and skills, social interaction, motivation and will. There are lingual, informational (digital), communicational, cultural, ecological, valeological (health saving) and other competencies should be formed in the student, regardless of the profile of his education. In Ukrainian legislation, valeological competence is referred to the category of "civic and social competences". Valeological competence in educational standards given less importance than, for example, ecological competence. We have not found a clear definition of valeological competence. In our opinion, valeological competence is the ability to lead a healthy lifestyle, practice safe behavior and provide emergency care. For its formation in students of non-medical higher educational institutions we have proposed the initial academic discipline "Health Pedagogy". The study is theoretical, based on the analysis of scientific sources and regulations of Ukraine, including national educational standards. Preliminary data on the introduction of the author's program of the discipline "Pedagogy of Health" in the educational process of the Ukrainian Engineering Pedagogics Academy for students of "011 - Educational, Pedagogical Sciences" specialty "Bachelor" and "Master" educational levels are also taken into account. Requirements for valeological competence formation in non-medical students on accordance with the level of education, the proposed components of the curriculum and components of competence (cognitive, activity, motivational-value and personal) are formulated. The author's definition of valeological competence is supplemented with a list of its components subject to qualimetric assessment. The list of competencies, necessary for the valeological competence formation, as well as those competencies that are formed or improved simultaneously with the valeological competence during the study of valeological discipline "Health Pedagogy" by non-medical students.