摘要:The article presents the research results on the modeling and design of professional activities in support of gifted children. The material for the analysis were scientific works, which describe both the results of modeling functioning psychological and pedagogical objects, and the existing (proposed) models of the process of psychological and pedagogical support of gifted children. Based on the system analysis and comparative approach, there is considered the composition, structure (methodological, target, content, structural, technological, management components), hierarchy of model components, and key design problems of each of them. It is shown that the psychological and pedagogical support of gifted children in educational organizations, built on the basis of theoretical models, is not without serious shortcomings. The ways of overcoming the revealed model errors are suggested. The analysis of theoretical models of the process of psychological and pedagogical support of gifted children will make it possible to simulate this process at a better level and avoid the significant errors in modeling.