Family conflicts are seldom resolved by legal means due to the personal and trust nature of family relations, and the moral and ethical means are used to regulate them. Only extreme, socially dangerous forms of conflict lead to the participation of the state in their resolution. The potential of the private law means of resolving such conflicts is not implemented to full extent. The article examines the possibility of recovering proprietary damage and compensating moral damage in family relations; it is noted that the RF FC lacks proper and sufficient regulation of these sanctions in the RF Family Law. The paper justifies the conclusion according to which tort obligations between the members of the family have a specific nature that is predetermined by a specific nature of proprietary relations (between spouses) and a high level of fiduciarity of family relations. Having examined Family Law in a number of foreign countries (Estonia, Germany, Belarus, Ukraine), the author concludes that it is necessary to pass a law to entrench in the RF FC the opportunity of compensation for proprietary damage and compensation for moral damage as a general method of protecting family rights.