The exploration and use of outer space, which began in the mid-twentieth century, led to the formation of international space law, designed to regulate the relations of States in this relatively new sphere of human activity. The undulating nature of the development of this branch of international law, for objective reasons, has led to the complication of international legal regulation of space activities. The dynamics of scientific and technological progress and the development of technologies in the space sphere exacerbates competition between space powers and international organizations, creates new challenges for international cooperation in space exploration and requires innovative legal solutions. The doctrine of international law is faced with the task of generalizing new problems and processes and developing conceptual models for the further development of international space law. The dynamics of the conceptual perception of international space law is traced, new theoretical approaches to the concept of the international legal status of outer space and individual regimes and concepts of its use in modern conditions are proposed. Taking into account the trends in the institutionalization of international space activities and the impact of economic integration processes on international cooperation in space, primarily in the Euro-Asian region, the role of international organizations in the international legal regulation of space activities and the harmonization of national legislation is analyzed. In addition, certain aspects of future space exploration are considered as a legal forecast. For researchers, teachers, postgraduates and students, civil servants and practicing lawyers, as well as for anyone interested in the problems of modern international law.