This work studies the problems of teaching foreign languages in modern education, namely in technical universities, are studied. The article highlights the features of modeling the system of teaching foreign languages. The purpose of the article is to study models of teaching in pedagogy and didactics, using examples proposed by various scientists on the methodology of teaching foreign languages in technical universities. Some methodological principles and features of teaching a foreign language at a technical university are considered, based on the criterion for the development of professional competence. The current technologies of teaching a foreign language to students in higher technical school are highlighted, the final result of which is the transition from mastering language means to the formation of speech skills in students and the development of speech skills. The specificity of the contingent of students of a technical university is that the curriculum includes mastering a foreign language as a means of further self-education and self-development, and modern youth are well aware of the advantages of knowing a foreign language. The paper analyzes modern foreign language teaching in a technical university within the framework of a personality-oriented educational approach, on the basis of different methodological approaches, discloses the concepts of the educational process as a system consisting of the proposed structural components - the hierarchy of learning goals, information technology support of the educational process, student, teacher. The characteristic features of the system of teaching foreign languages in technical universities, which takes into account the peculiarities of the educational space of a modern university, are highlighted and described. The introduction of this system will bring the teaching of foreign languages to a new level that meets the modern requirements for training specialists.