The paper is dealing with the problem of cryptographic assets (cryptocurrency and other, non-cryptocurrency, assets) recognition as objects of accounting. The compliance of cryptographic objects with the attributes of the asset in accounting is proved. The issue the essence of cryptocurrency for the accounting purposes is raised: cash, cash equivalents, currency, commodities, stocks, financial investments or intangible assets. The necessity of legislative regulation of digital economics and its adjustment by accounting standards is actuated. The assumption about the problem of the universal approach application to displaying cryptoassets in the accounting system in view of their diversity and the distinction of the performed is made.