This paper considers the most popular, optimal and effective programs for the education and development of gifted children from the point of view of achieving the set goals. This article substantiates the relevance of such work and reviews the state of research in this area. The use of the technological approach has allowed solving the problem of creating the typology of extremely diverse forms and types of analyzed programs, referring to their underlying learning models, which include the learning objectives, the method of instruction, the forms in which it is implemented, instructional techniques and specific instructional methods. Special attention is paid to the study of the importance of a teacher in the implementation of such programs. The paper specifies tasks of the teacher and the criteria for their selection, the role models with reference to which the collaboration between parents and teachers can be built on. Finally, the paper presents the list of the most interesting programs as a result of studying the technological principles of certain concept representatives and the means that they actually use in the process of teaching and educating gifted children.