Abstract: Green supply chains management provide an excellent opportunity for those of who are concern about Sustainable development and Environmental business practices. Companies have to Review about the design of products and techniques to create products compatible with the environment. On this basis, the green supply chain management has became more important. In the past, supply chain management was a view to improve performance in entire supply chain based on productivity and profit increasing, And It's managers were looking for faster delivery of goods and services, costs reduction and quality increase, But the importance of improving environmental performance, social issues and environmental degradation was not considered in this view. The approach of green supply chain management, in general, is Considered tangible and intangible costs, Negative and destructive effects on the environment, and social issues. In this study, a Green supply chain performance assessment method of Borzoyyeh petrochemical is provided by using a combination of fuzzy method and non-linear modeling approach. For this purpose, first, path analyses used for presentation of a green supply chain evaluation model. Then paired comparison questionnaires associated with definition of criteria’s weights was given to 15 specialist and to the method of non-liner modeling, criteria’s and sub criteria’s was calculated. In the next step, the idea of specialists about performance evaluation of green supply chain of benchmarking and Borzoyyeh petrochemical were collected from questionnaires. Then using fuzzy technique, benchmarking performance of Borzoyyeh petrochemical were evaluated. Then the result of performance evaluation of green supply chain of Borzoyyeh petrochemical compared with benchmarking. The results of performance evaluation of green supply chain of Borzoyyeh petrochemical showed, Borzoyyeh petrochemical in term of green criteria , cost and customer associated with flexibility and financial criteria’s in comparison with benchmarking is in worst situation.