The banking system is one of the most important components of the economy of any state, ensuring the functioning of the economy. The researchers study the functioning of individual banks and the banking system as a whole, because it is the banking system being an intermediary in the market system of relationships that allows financing of all spheres and branches of the national economy and the organization of their interaction. In modern conditions of aggravation of the economic crisis, pandemic, the role and importance of second-tier banks is changing. Banks, being one of the most dynamic and «flexible» spheres of economic activity, not only organize the functioning of economic entities, but also face a number of «newly created» problems that were not discussed until recently: cybercrime, data leakage, various modified fraudulent schemes and much more. An important distinguishing feature of the banking system is its dynamism, the ability to quickly respond to changes in the economy, the challenges of globalization. The domestic banking system copes quite well with the challenges of globalization, which is highlighted in this study. The purpose of the article is to consider the changes taking place in the banking system of Kazakhstan in modern conditions. When writing the article, methods of comparison, analysis, synthesis, aggregation, etc. were used. The result is the identification of the main problems related to the current state of the banking system, as well as their impact on the future configuration, improvement of the banking system, can be useful to bank employees dealing with the management of the banking system.