The increased interest in the problem of giftedness, and factors contributing to the development and self-realization of gifted students have determined the relevance of the research. A promising trend in working with gifted students is networking, which is manifested in the integration of the activities of various organizations. The research problem lies in the development of approaches to the organization of project and research activities of gifted children based on network interaction. The purpose of the research is to create a model for organizing research and project activities of gifted students based on network interaction.During the research the following methods were used: the study of literature and results of activities, analysis, synthesis, generalization, modeling. In the course of the research the principles of an educational system for working with gifted children based on network interaction were developed: consistency; coordination of actions; multilevel, multifunctionality; availability of conditions and services; continuity; targeted orientation of educational services; openness and awareness; adequacy of educational services. The conclusions have been drawn that the network mentoring based on the formation of a «developing network» can become a mechanism that ensures network interaction in working with gifted children. Common elements for the «developing network» are values and meanings, research issues, principles and mechanisms, etc. A productive way to organize the research activities of gifted students is a network project. It is based on a topical issue that is of interest to all categories of participants. The product of joint research activities is not only the project itself, but also the skills of scientific communication that gifted children acquire in the process of working on it.