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An efficient organization of the educational process within rapid acceleration of the society digitization is impossible without increasing its digital literacy, if the latter is really estimated and new models of digital learning didactics are developed respectively. So, it is necessary to study an actual state of digital literacy, as well as to search for and introduce new learning models in the educational system based on the use of modern innovative technologies and digital learning methods. The objective of the research is to examine the level of the digital literacy of teachers, and also opportunities and promising trends within the digital didactics for the formation of competencies as the basis of a new model for the development of a new learning model in the context of the formation of the digital knowledge society. Two main methods have been used - elaboration of the abstract and logical model and a survey. In the research the data obtained as a result of the survey conducted in 2018 by NAFI Analytical Centre related to the measurement of the digital literacy level of teachers and lecturers in Russia were used. The number of respondents made up 634 lecturers (higher education) as well as 555 teachers (general education). The digital literacy formation model was developed based on the didactic learning triangle taking into account the synthesis of three learning environments - real, virtual and neurocognitive. The analysis of the survey data demonstrated that in the aggregate of the compared indices for different social groups of the population, school teachers and lecturers of higher educational institutions have reached the higher level of the digital literacy, which significantly exceeds the average Russian level. So, in Russia as a whole the index of the digital literacy of the adult population by a similar measurement method makes up 52% out of 100% possible ones, school teachers - 87%, lecturers of higher educational institutions - 88%. The use of research results in practice is possible with the improvement of training programs, the exchange of international experience and further researches. © Kassel University Press GmbH.