This article examines the problem of formation of a diagnostic system of the intellectual level of the candidate being recruited in the professional selection of professors and teachers in higher education institutions, ensuring their competence. It is possible to solve a number of issues by establishing a system of psychological assessment of the recruitment of professors and teachers at higher educational institutions. At the same time, with the help of the formed psychological diagnostic system, a solution is found to the important issue of objective assessment of the level of psychological suitability of professors and teachers for professional activity.