Introduction. The article discusses the positive aspects of the introduction of digital simulators of pedagogical activity into the process of professional training of teachers. The subject of the research is the most significant technical factors affecting the design of a digital simulator for professional training of mathematics teachers. Methodological approaches to simulating the process of learning to find solutions to problems are considered.Materials and Methods. In the article there was conducted theoretical analysis of the complex domestic and foreign scientific sources (articles and publications on the research topic, the results of dissertational researches in pedagogics and psychology), which generalize and systematize international and Russian experience in relation to teacher training, and in terms of the characteristics of different virtual simulators. There were applied a method of theoretical generalization, content analysis, technical algorithm for using computer programs in the designing of a simulator.Results. As a result of the authors’ analysis and interpretation of available sources, the data of international and Russian studies are summarized and systematized. Various platforms and technical characteristics that allow implementing simulators are analyzed. The technical data obtained during the analysis allowed us to identify and justify the process of creating the simulator platform. The visual concept of a simulator, which provides for the use of vector and raster graphics packages, is presented.Discussion and Conclusions. The article presents the stages of development and implementation of simulators in the professional training of teachers. The new digital educational environment with the use of computer modeling capabilities will allow future teachers to master professional competencies by training virtual students.