The article studies and analyses the problem of spiritual and moral development of individual in the network educational paradigm, the emergence of which is the result of an entry into the era of the fourth industrial revolution, i.e. the digital era, the era of the information society and nanotechnology, the era of emergence of new cultural models and changes in the cultural paradigm. According to the authors, task-oriented and consistent design of the spiritual and moral development of an individual in the network space and time continuum can resist ideologemes in education, withstand "traditions" of the action-based pedagogy and be aimed at development of a person. Such design can be multivariate and alternative and be based on a synthesis of liberal and natural science knowledge, rational thinking and cultural context. Using the model of network interaction, KalmSU named after B.B. Gorodovikov jointly with the School League (St. Petersburg) in the framework of the federal educational program "School League of ROSNANO" have developed a conceptual approach, organizational and methodological support of the process of design of spiritual and moral development of an individual in the network educational paradigm. The principles of learning in the framework of this program are humanist-based education; student-based learning technologies; critical thinking technologies; traditional and virtual educational space; mutual training of network members; awareness of results of local research, the object of which is deliberately limited from the point of view of the territory, chronology, problems and research works. (C) 2019 Published by Future Academy www.FutureAcademy.org.UK