In new business environment, procurement is a vital activity in providing added value for products. It is also a determinative factor for stability and profitability. Regarding to environmental issues, purchasing is getting more complex because in green purchasing, supplier environmental responsibility must be taken into account in addition to traditional standards such as cost, quality, lead time and flexibility. Consequently, the supplier's environmental performance has become more important these days and identification of group of green criteria and selection of the suppliers accordingly has turned into a vital issue across the supply chain. This survey attempts to determine the model criteria's importance by using compound techniques of ANP-DEMATEL after vernacularing the comprehensive model of Buyukozkan and Cifci (2011), which is about assessment of green suppliers. For this purpose, six persons' ideas of Iran Heavy Diesel Company were collected by using a questionaire, and analyzed by using MATLAB and Excel. Regarding to existent criteria in this model (organization, financial performance, service level, technology, and green competence), the survey findings showed organization criteria's high priorty in green supplier's selection, and financial performance, technology, service level and green competence show other priorities accordingly.