The problem of increasing of the efficiency of physical education in the process of non-special physical education of students of non-core higher educational institutions is considered. The urgency of the research and solution of this problem in the context of improving and maintaining the level of health of the younger generation is shown. The competence approach is proposed as the main tool. On its use the technology allowing to find ways of realization in the course of training of health-forming competence of students is built. The article presents an algorithm for solving this problem, designed to be the basis for the modernization of non-specialized physical education of students of non-core higher educational institutions.