This paper describes one of the major challenges of the future: the sustainable development of the society. Sustainability is now increasingly recognized as central to the growth of emerging market economies. For the banking sector, this represents both a demand for greater social and environmental responsibility as well as a new landscape of business opportunity. Several years ago, the main part of the banks did not consider the social and environmental problems relevant for their operations. Recently, the banks began to realize the major impact of the sustainable development over the way of ulterior development of the society and, implicitly over the way of creating of the banking value in the future. In this context, the development of a banking management system, based on sustainable principles represents one of the provocations of these days.Starting from literature in the sustainable banking management field in this paper are presented several relevant issues related to risk management in the context of sustainable banking financing: the need to implement the sustainable management principles in financial and banking industry; the role of banks in sustainable development of society; social and environmental risk management policies, events that have shaped the role of the banking sector in sustainable development; international standards regarding sustainable banking management such us: Equator Principles for sustainable investment projects’ financing or GRI principles for sustainable reporting. Furthermore, we developed a practical case study related to the implementation of sustainable banking management at Bank of America.