Management mechanisms of education systems require improvement and modern approaches to the process of modeling management strategies and tactics. The need to develop constructive model for managing multilingual higher education is one of the priority tasks of modern didactics, management and social psychology. Pedagogical management is necessary for the formation of mechanisms enabling educational services quality assessment and their relevance on the global market. In this paper, the authors use the constructive research method that gives an opportunity to implement comprehensive methodological modeling of multilingual education system management. The constructive method provides implementation of several functions of educational management model in a higher school: design, information and analytical, prognostic, motivational-objective, monitoring and diagnostic, regulatory. The main result of the study is designing of the constructive management model of multilingual education of foreign students, including managerial level, target component, elements of constructive management, training modules, the system of methodological indicators, constructive linguodidactic technology. The effectiveness of theoretical results is confirmed by the experimental work that was carried out for six months in study groups at the Institute of Humanities in Saint-Petersburg Polytechnic University.