The article reveals the problem of educational activity organization in Master`s degree students training in pedagogical and psychological directions. It underlines an essential role of a tutor. On the analysis basis of the current social, information and anthropological approaches in tutoring the article marks out the aims, objectives, functions and content of educational activity. Experience has shown two leading directions of tutoring: Master`s degree students education for responsible educative process and interpersonal relations organization and formation of a professional-to-be social qualities.