Six sigma is a project driven approach that concentrates on reducing variations, defects and improving the quality of products, processes as well as services. The selection of right project in a six sigma program is a major concern for the early success and long term acceptance within any organization, as projects are expensive and require considerable human effort, money, and time. Selection of critical six sigma project, however, is a real challenge in practice. This study aims to develop a novel approach for the identification of critical six sigma project based on extent analysis method of fuzzy AHP. To explore effectiveness of the approach, an empirical case study of a manufacturing firm which produces various types of precision machined components, is demonstrated.