The article presents an overview of the main areas of research of emotional intelligence of Kazakhstani scientists who consider this psychological phenomenon at different age stages and various professional fields of activity (N.S. Akhtayeva, Z.B. Madalieva, A.A. Tolegenova, A.T. Kamzanova, Zh.N. Abdimusa, etc.). It was revealed that the emotional intelligence of preschoolers remains the least studied in Kazakh psychological thought (A.A. Tolegenova, A.K. Nogaeva, O.S. Sangilbayev, M.M. Baibekova, M.B. Berlibayeva, N.S. Zhubanazarova, N.S. Tlencieva), which requires more attention to the study of this problem. Based on methodological approaches of age psychology such as the phenomenon of the "zone of proximal development" and the mechanism of interiorization (L.S. Vygotosky), the principle of determinism and the concept of relationships (S. L. Rubinstein, V.N. Myasishchev), the concept of co-dialogic cognitive activity (S.M. Dzhakupov), we have developed a research design to study the relationship between emotional the intelligence of parents and children. 25 preschoolers and 25 parents (mothers) took part in the pilot study. The following diagnostic tools were used: Rotterdam Scale of Emotional Intelligence, REIS (K. Pekaa, A. Becker, D. van de Linden and M. Born, 2018) and the questionnaire "The nature of manifestations of empathic reactions and behavior in children" (A.M. Shchetinina). The results of the study revealed significant correlations between the development of a number of indicators of emotional intelligence of parents (mothers), such as identification and understanding of emotions, and the development of empathic reactions in preschoolers.