It is generally known that the effectiveness of the system of higher education in Ukraine largely depends on the professionalism of the teaching staff. Professional development of teachers makes effective their activity by means of which public policy is implemented – the strengthening of the intellectual and spiritual potential of the nation, the development of science, the conservation and increasing of cultural heritage. The better the teacher is aware of his high role, understands the requirements for his personality, the harder he is working at them. This is the key to his professional success. Considering the problem of teachers’ professional growth, we will proceed with the concept developed by the prominent psychologist, K. Platonov. According to this concept in the personality structure there are reflected the general, special and individual (personal) qualities that form four substructures, which are arranged in a pyramid, at the bottom of it there are biologically stipulated qualities, at the top of it there are socially stipulated ones. We’d like to note that the general personality traits include political, moral, strong-willed, legal, aesthetic, etc., which form the basis of individual consciousness of the individual. The personal traits include individual experience and professional activity. The individual qualities include: individual characteristics of mental processes, the peculiarities of the types of higher nervous activity and temperament, as well as some physical data relevant to teaching work. Of course, no less important are the mental processes and characteristics: flexibility, critical and insightful mind; emotional sensitivity and responsiveness; volitional features, the ability to influence others and so on. Without these qualities there does not exist a teacher as it is impossible to develop thinking and to teach that human who has no these qualities, whose qualities are not developed; a weak-willed or infirm teacher cannot influence on pupils’ willful traits. Consequently, the training of the new generation of the teaching staff, who would have all the above mentioned qualities and meet the requirements of the professional formation, involves the implementation of the vocational training of a high school teacher. The ability of a teacher to a successful professional becoming in today's society depends on the professional self-development; the understanding of the factors that facilitate or hinder the establishment of professionalism and capabilities to overcome the preventive factors and solve problems; the evaluation of their professional activities; the degree of satisfaction with the vocational training, etc.