Abstract: This article is aimed at formation of the concept of “brokerage services on the stock market” and systematization of brokerage services on the stock market for the purpose of improvement of legal regulation of the relations on rendering brokerage services in the EAEU member-states. The author examines the following aspects: 1) features of brokerage services on the stock market from the perspective of the doctrines; 2) peculiarities of brokerage services on the stock market stipulated by legislation of the states of Eurasian Economic Union; 3) classification and types of brokerage services on the stock market from the perspective of the doctrines; 4) classification of brokerage services on the stock market by the services of classical broker and discount broker; 5) types of brokerage services on the stock market established in legislation of the EAEU member-states. The scientific novelty consists in comprehensive analysis of the selected circle of questions based on the material of EAEU member-states. The main results include: 1) the formulated definition to the concept of “brokerage services on the stock market; 2) conducted systematization of brokerage services on the stock market in the EAEU member-states; 3) developed concept of implementation in the EAEU of the institution of discount brokers of stocks and financial derivatives.