This paper describes one of the major challenges of the present: globalization and its effects on the banking. Globalization is now increasingly recognized as central to the growth of market economies. For the banking sector, this represents both a demand as well as a new landscape of business opportunity.Several years ago, the main part of the banks did not consider the globalization problems relevant for their operations. Recently, the banks began to realize the major impact of the globalization over the way of creating the banking risk in the future. The banking management in the context of globalization represents one of the challengesof these days. Starting from literature in the globalization field in this paper focuses on several relevant issues related to banking management.