Advanced technologies of neonatal reanimation and intensive care have led to the increase in the number of children with the extremely low and low birth weight. These children constitute a risk group often having severe development complications and disabilities. This article provides a review of the existing research literature on emotional states of mothers of prematurely born infants’ and characteristics of their early interaction. The data on the influence of the mother’s emotional state on her interaction with her prematurely born infant and its impact on the child’s long-term development are presented. The authors present directions of studying development of prematurely born infants, which are not fully reflected in the literature, regarding infants with structural intracranial changes (intraventricular hemorrhages) and associated hydrocephalus and posthemorrhagic hydrocephaly. New targets of practical work have been developed to improve the family-centered interdisciplinary support for children at infancy and early age.