The articles deals with the problem of forming of stylistic competence of students; cited the reasons for the lack of linguo-didactic system up till now that aims at forming students` stylistic skills and abilities. A good example of forming of the students` stylistic competence is demonstrated in the poem written by V. Vysotsky; essential conclusions are drawn about the didactic role that determine the components of the educational process: selected linguo - didactic materials, methods and techniques of its delivering and stylistic analysis, as well as the forms of organizing of the cognitive activity of students.