The demand for the tutor support implementation in Russian education is determined by the tasks set in the basic general education system. The current research is based on such scientific approaches as systemic, personal-activity and environmental approaches. At the current stage of development of Russian society, the importance of a school teacher as an active participant in the teaching and educational process increases significantly, the requirements for his/her professional qualities and personal qualities, socio-ethical principles and attitude to the chosen profession become stricter. The key points on which a tutor relies in the context of his/her work activity are the principles underlying open education: transparency; flexibility; continuous nature; variability; individual approach; individualization. Pedagogical conditions for the implementation of the tutor support model for the formation of research skills of primary school students should be considered as follows: innovative educational environment; the scientific-methodological framework of tutor support of the process of forming research skills of primary school students; tutor’s professional skills. © BEIESP.