Purpose The purpose of this paper is to evaluate the relationship between bankers’ perspectives and their pro-green banking behaviors (i.e. intentions). Specifically, how do bankers’ perspectives on environmental concerns, environmental normative structure and green technology affect their intentions toward G-banking activities? Design/methodology/approach A theoretical framework of the theory of bounded rational planned behavior (TBRPB) as its foundation was established. Using measurement scales to measure different aspects of environmental concern, environmental normative structure, green technology, attitudes, perceived behavioral control and subjective norms, a survey instrument was developed to examine the various associations implied by the model of TBRPB. Data were collected from the bankers of selected commercial banks in Bangladesh following the random sampling procedure. The data were analyzed using the partial least square structural equation modeling technique. Findings Findings indicate that all of the predictors appear to be robust in predicting the G-banking intention of the sampled bankers in Bangladesh. The results also show that attitudes, subjective norms and perceived behavioral control have significant mediating effects toward bankers’ bounded rational G-banking intention. Research limitations/implications There are a few limitations in the study. First, the study considers environmental concerns as an antecedent of the attitude of bankers toward G-banking activities. Future studies can explore other variables related to environmental problems to study G-banking adoption and practices. Second, this study only considers the private conventional bankers as respondents to the survey to assess G-baking intention. In the future, other types of bankers, such as Islamic bankers and public banks’ bankers could be included in the survey to explore G-banking practices. Finally, this research has been done in a developing country-context. Practical implications In this study, environmental concerns of bankers appeared to be highly significant predictors to influence their attitudes toward bounded rational G-banking intention. Similarly, the social normative structure also appears to be a robust antecedent of subjective norms to influence bounded rational G-banking intention of respondent bankers. Finally, green technology or bakers’ personal and skill-related ability to control bounded rational G-banking intention also appeared to be a strongly significant predictor of green banking activities. All this evidence implies that respondent bankers in the sample responded positively to provide their positive intention toward G-banking activities based on their environmental concern. Social implications Important social implication of the current study is G-banking practices can help reduce carbon emissions and other pollutants which would enrich overall environmental sustainability and ecological conditions. Originality/value Few studies are directed on G-banking perspective in Bangladesh. This research is one of the empirical studies which will certainly add values for the clients, institutions and policymakers in banking paradigm.