This article deals with the problem of students' giftedness development. Students' test results (n = 851) for "IQ level" and "creativity level" indicators demonstrated the need to improve the quality of work in reference to students' professional giftedness development at the university. Designed complex of pedagogical conditions involves students' giftedness development on organizational-pedagogical, psycho-pedagogical and didactic levels. Results can be used in educational practice of higher educational institutions of any type as methodological recommendations in work organization with gifted students, as well as in specialists training.