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The need to develop a competences model of competitive process engineer is due to the fact that his professional career is multifaceted and there are quite a lot of specializations, professional success in which is determined by the competitiveness of the individual engineer. In this regard, this article aims at developing a competences model of competitive process engineer. The model presented in the paper reflects the technological University students' individual personality traits which are more significant in their future professional activity, as well as individual targets in self-development of students' competitiveness -future engineers, that is especially important in the context of opportunities identifying for the forms and methods improving to design the individual self-development programs of students' competitiveness. The article also reveals persistently recurring seven types of individual self-development of students' competitiveness in their design and creative activity: heuristic, research, technology, practice-oriented, social, communicative and mixed types. The material of this paper are both of theoretical and practical value for scientific and methodological divisions in the development of programs for increasing the competitiveness of universities, as well as for faculty in courses of lectures developing for students of engineering specialties.