Abstract: The article is devoted to the rapidly developing modern art and design phenomenon, digital sculpture. The authors of the article state that despite a broad popularity and active practical use of digital sculpture in various kinds of modern life, researches of this phenomenon have only started. Within the framework of this research, the authors view the most important problems of digital sculpture that, in their turn, create directions of relevant research. The object of the research is the digital sculpture and the subject of the research is the directions and problems of studying this phenomenon. Historical comparative and analytical approaches used by the authors allowed to analyze historical, technological and expressive aspects of digital sculpture that relate to both the process of digital sculpture creation and associated software (ZBrush, Sculptris, 3D-Coat, etc.). The novelty of the research is caused by the fact that in the process of their analysis, the authors define the most promising directions for studying the phenomenon of digital sculpture, each can serve as an individual research subject in the future. These directions include: 1. accumulation and generalisation of research methods and historiographic basis; 2. development of the framework of terms and methodologies; 3. analysis of the history of sculpture and software development; 4. analysis of artistic features of such artwork as well as particularities of using digital sculpture.