This paper considers the main directions of the development of world economy in general and banking sector in Russia in particular in conditions of new normal. In recent years, the economic development rates of developed countries have significantly decreased, which has led to a reduction in GDP, an increase in unemployment, an increase in public debt, an even greater strengthening of the importance of new technologies, etc. Such changes not only in the economy, but also in all spheres of life, have been called a new normal. The changes have also affected the banking sector. The consequences of such changes in Russia included reduction in the number of credit institutions (mainly local and regional banks), slowdown in the capital growth of credit institutions, most banks found it difficult to maintain stability, meet their obligations. The assets and capital throughout the banking sector are shrinking as well as the number of loans and deposits opened. In this regard, it is necessary to develop new strategies to maintain the stability of Russian banks, to ensure their functioning in a volatile economy. In this paper, we proposed measures to stabilize the credit institutions.