"For successful professional adaptation in the new socio-economic conditions, it is not enough to train specialists with a so-called «formed and fixed» character and certain qualification. The globalization of the educational space and the desire to ensure the continuity and integrity of learning, determines the diversification of factors in the design of educational programs and methodological systems for studying subject areas, taking into account the needs of labor markets and education. The modern economy requires constant updating of technologies, knowledge, skills and abilities. Their continuous updating is the key to the growth of a specialist’s qualifications. The problem of continuity in lifelong education has many aspects: philosophical, methodological and psychological. In our research, we deliberately limited the area of research into the issue of continuity as a factor in the design of a methodological system for ensuring the fundamental nature and practical conditioning of the needs of society. When moving to a new level of quality, there is a problem of «loss» of the classical fundamentality. The results of our research, aimed at solving this problem, show that the principles of continuity and transdisciplinarity are effective tools for implementing the concept of lifelong education and preserving the fundamentality and modern quality of training engineers of a new formation. The aim of the study is to design a methodological system for implementing the principle of continuity in the process of training future engineers. The principle of continuity in education is considered in the article as a condition for the implementation of the dynamics of knowledge, depending on the content and context of teaching physics in technical specialties of universities. The theoretical result of the research is the implementation of the principle of continuity as a didactic factor in the design of a methodological system for the contextual study of a course of physics in engineering and technical education. In the article, this problem is investigated by analyzing, comparing, systematizing, interpreting various aspects of the problem in the scientific literature and educational practice of universities. "