The methodical and applied aspects of the creation and application of cyber ranges are proposed in the article. The new solutions for analysis, synthesis and the development of applied scientific and technological principles of construction and realization of cyber ranges are given. These cyber ranges can be used for: research issues of cyber monitoring, cyber defense and cyber influence; design of fundamental and applied bases of constructing mathematical support of software and hardware assets for realization of monitoring processes, analytical information processing, forecasting, planning and implementation of passive and active countermeasures against information and cyber threats in cyber space. This makes it possible to check the effectiveness of new and innovative forms and methods of countermeasures against challenges and threats of terrorism, of protecting critical infrastructures, society, authorities, and person through the realization of complexes of information security in cyber space.