This paper examines the approaches concerning financial banking management. The main objective of this research is to highlight the importance and features of management, especially for banking system. Modern management involves a large number of skills and orientations, many of which involve skills related to statistics, the use of information technology, accounting and mathematics. In this paper were analysed 3 main schools of management and its representatives, financial banking system and bank management problem. The research result shows us that an inefficient management leads to bankruptcy of banks, as: BC „Banca de Economii” S.A. BC „Banca Socială” S.A. and BC „Unibank” S.A. and worsening the entire banking system indicators.