The relevance of the topic of the article is determined by the need to form an integral theory of the monetary system of the country. The purpose of the article is to critically comprehend the view of the neoliberal school of economic thought on the modern monetary system as fiduciary-active. The positive task of the article is to argue the position that money in modern conditions is not a representative of trust in the reputation of the Bank of Russia as a reliable counterparty to market relations and not its assets, but the material content of the market in all its variety of forms. The main research methods were deduction and induction, organic sequence in the presentation of the material and a number of other scientific methods. As a result of the conducted research, it was concluded that the modern monetary system has a market character.