Implementation of enterprise resource planning (ERP) is one of the most complex transformational projects for any organization and it is associated with high risk and cost. This study proposes a fuzzy-social network analysis approach for modeling and analyzing the critical success factors of the ERP implementation projects. One of the benefits of the proposed approach is that it allows for ERP projects managers and implementors to identify the most critical success factor for the ERP implementation based on a classification system that classifies the Critical Success Factors under four categories: autonomous, dependents, linkage and independent. The proposed approach is demonstrated using a case study from the industry.