Requirement elicitation is one of significant part of software engineering activity. It is very difficult to develop successful software without involvement of the quality stakeholder from the client side. Stakeholder prioritization is one of the indispensable processes in requirements engineering. When a project commences, there might be many stakeholders but minority of them would be the key person to collect software requirement. Now the question is among the stakeholder whose requirement is got the priority and based on what. After identifying the all stakeholders for a specific system, they may be prioritized in a convenient way which is stakeholder prioritization. There are common problems in the requirement phase like requirement overflow, insufficient stakeholder input, and wrong prioritization of requirement. Although, there are some techniques available for prioritizing the selected stakeholders but existing processes hold so many limitations and not adequate for all system. For that reason, existing processes are not sufficient to set the selected stakeholders’ priority properly. The research study has been performed for offering a systematic way of stakeholder prioritization. We proposed a new approach which is based on ‘fuzzy logic’ for sorting the key stakeholders. It is essential to construct a model that does with some criteria, which are based on stakeholder’s conducts considering a project for a specific organization. The parameters of those criteria will be filled up by numeric values, which will be organized by viewing stakeholders’ profiles, conducting interview session, doing a survey based on questionnaire, making discussion with all the individual stakeholders and so forth. As a result, a sorted list of stakeholders will be the output that is the desired stakeholders’ prioritization list, where the technique of ‘fuzzy expert system’ is applied. Besides, a case study is gone through on school management system based on the proposed framework that provided for making a self- judgment on our current research paper of stakeholder prioritization process.