Today social responsibility of organizations is regarded to be an inseparable part of business literature in the world of social responsibility, in one look it is defined as a means to evaluate the impact of company activities, such as the analysis of the effects of organizational activities on society which is relatively connected to unemployment, poverty, environmental contaminants and other social issues. In the banking industry, the point considered here is that do banks pay attention to this issue and how necessary it is for them to fulfill these responsibilities. In this article, a proper and through comprehension of the concept of social responsibility in banking industry has been discussed. First, the importance of this issue and then, this concept and the implemented models in the banking industry of several countries, is discussed. In conclusion after reviewing the models and literature, it is found that in the concept of social responsibility the American banks have been in particular, more successful than most countries with banking system around the world such as Australia, England and Romania.