The article considers the peculiarities of training foreign students subject "Descriptive geometry and Engineering Graphics" in a modern engineering university of Russia. The relevance of the problem conditioned by the fact that virtually there are no special studies of teaching Descriptive Geometry and Engineering Graphics in Russian language as a foreign language. The aim of the article is a definition of the tasks of teaching descriptive geometry and engineering graphics for foreign students in Russian language as a foreign language, create methods and didactic principles used for training. The leading study method of this problem is the simulation method as a deliberate and organized improving process for general cultural level and formation of special competence of teachers of engineering universities of Russia, and for effectively carry out their professional activities. The study aimed to adapt of lecturers to the new conditions professional work in the field of education, the integration of professional psychological and pedagogical training of lecturers. It focused on the development of scientific and methodological support of the decision of psycho-pedagogical and organizational-methodological problems of teaching Descriptive Geometry and Engineering Graphics in Russian as a foreign language.