Families with intellectually disabled children face many problems and difficulties in the process of care, which are influenced by their psychosocial functioning. The aim of the paper is to present the current problems of parents with a moderately intellectually disabled. child, based on results of the study conducted with 80 families in the Bułgaria. The results show that the tnain problems of the parents are connected with lack of adequate support and services for their children. There is a discussion about current changes and development of a policy for family support for children with intellectual disability during the last ten years.