Current problems in popularizing science are considered in their relationship with the building of the national innovation system (NIS) of Russia. It is shown that for the creation of effective innovative communications in society, an innovative culture should predominate, contributing to a positive, constructive, and active perception of new knowledge, discoveries, and inventions. The activity of popularizing science is a significant factor in the formation of an innovative culture, along with education. The contemporary tasks of popularizing science are identified and analyzed, digital tools for its implementation are presented. The role of information centers as organizers of science communication and their potential for influencing the development of the innovative culture of society is shown.