In the paper the author notes a mediable nature of most family disputes and indicates the need to change family law on mediation. The author highlights the significance of the Concept on Improving Family Law as the document that has determined the main ideas for the reform of the RF Family Code on mediation. The author justifies the need to exclude mediation in cases concerning imposing measures of matrimonial responsibility on parents and parental substitutes. The author analyzes the possibility of imposing compulsory mediation in a number of family disputes, and proposes to apply different types of compulsory mediation, requirements for its introduction; the author makes a conclusion concerning the problems associated with the introduction of compulsory mediation. The paper analyses the status of the child during mediation in family disputes with regard to the interests of children; the author concludes that the child is not the third party in the meaning of Section 5 Article 1 of the Federal Law "On Mediation” and proposes appropriate amendments to the legislation. The paper analyses provisions of the FL "On Mediation" concerning confidentiality and the provisions of the RF FC regarding the need to protect the rights; the conclusion is made on the supremacy of the family legislation; the author suggests relevant amendments to the existing legislation.