In every society family is an institution created on the basis of the social laws, customs and traditions and is one of the main social inventions of humankind. Its main essence is defined by fulfilling social, group and individual needs. Family as one of the primary forms of social unity of humans provides conditions for meeting a range of important human needs, one of them being reproduction.Family functions are the main factors that precondition the existence and activity of family, as well as normal (functional) family environment. Fulfillment of these functions has exclusive importance not only for family members, individuals, but for the whole society. Researches on family psychology, sociology and pedagogy classify family functions on the basis of a variety of criteria. The paper analyzes traditional (specific) and non-traditional (non-specific) family functions from psychological perspective and classifies the social and psychological importance of changes in family functions in the age of globalization.