Small and Medium Enterprises SME play a crucial role in the global economy through their contribution in countries economy and creation of employment opportunities, and their success heavily relies on the implementation of efficient manufacturing systems like Lean Production(LP). LP is a continuous improvement philosophy based on various lean activities for improving enterprise lean performance. A fuzzy model that integration Fuzzy Consistency Algorithm (FCA) and Fuzzy Analytical Hierarchy Process (FAHP) was proposed as a comprehensive framework to assess the levels of importance and priority of nineteen SME lean activities that categorized into the related five related lean dimensions. FCA was used to construct the fuzzy pairwise comparison matrix to ensure obtaining consistent experts judgment, whereas FAHP was applied to identify the level of importance and priority of lean activities. Identifying the level of importance of lean activities will be contributed in focuses SME efforts in the improvement process on the most important lean activities to ensure effective resource allocation and foster continuous improvement process and offer a practical tool for enhancing their competitiveness and sustainability. The proposed model was applied in Iraqi SME. The result showed that FCA is an efficient approach to construct a consistent judgment matrix. Efficient manger, Kaizen team, supplier relationship, execution customer suggestions and customer satisfaction job rotation are the most important lean activities with level of importance 58.90%, 21.30%, 49.80%, 38.50%, 41.20% respectively. The proposed model can be used for small or medium size enterprise for various production industries.