The quality of the home learning environment has been proven to be of major importance for child development, but little is known about the role of domain specificity in promoting early childhood learning at home and its dependence on family background. This article presents a framework of the home learning environment in early childhood that includes three domains of stimulation (i.e. family support, stimulation in literacy and stimulation in numeracy) and their contextual conditions. The study examines the extent to which the structural characteristics and educational beliefs of the family are connected to educational processes taking place in the home learning environment during preschool age. Results show that general educational processes of the home learning environment operate independently of structural characteristics and parental educational beliefs, whereas the domain-specific educational processes of the home learning environment are more strongly related to the structural characteristics and parental educational beliefs. A model of the home learning environment should thus always include different domains of stimulation (general and domain-specific) presented as parallel cases.