Our article is devoted to the theoretical aspects of the formation of the financial market and analysis of its activities in Ukraine. In economic essence, the financial market is a set of economic relations associated with the distribution of financial resources, purchase and sale of temporarily free cash and securities. The purpose of the financial market is to provide enterprises with appropriate conditions for attracting the necessary funds and selling temporarily free resources. Effective development of the financial market will ensure the formation of investment processes, increase GDP in the country, as well as create opportunities for the development of various economic sectors. In view of this, the article fully reveals the essence of the concept of the financial market through the definition of domestic and foreign scientists. Theoretical bases of activity of the financial market in Ukraine, and also use of the basic functions (namely tasks) and the principles applied on it are considered. The role of objects and subjects of the financial market is defined. Among the objects are various market instruments, which reflect the temporarily free funds (financial resources) of the subjects of the financial services market, which include the state, households, financial and non-financial institutions. In particular, the activities of financial market entities that are most active in Ukraine, namely financial institutions, which include commercial banks and insurance companies, are analyzed. The dynamics of the number of changes in banking institutions and insurance companies is studied. A comparative description of the dynamics of revenues and expenditures of the banking sector for 2015-2019, as well as current information for January-September 2020. A comparison of the main indicators of insurance companies in the domestic market for the first quarter of 2019-2020, namely: the volume of gross insurance premiums, the volume of net insurance premiums, the share of net insurance premiums, as well as the number of insurance contracts. Based on the results of the study, the directions of improving the financial market in Ukraine are proposed.