Background: Supply chain covers a set of logistics components (procurement, storage, production, distribution...). In addition to the classical logistics components, the green supply chain integrates the environmental dimension in all these components. Nowadays modeling a supply chain by integrating environmental constraints has become an important metrics, in the logistic field for scientists, and also for industrialist in order to meet the customer needs, that has become more and more demanding in terms of respecting environment. This article aims to summarize some literature studies of the green supply chain and its modeling; afterwards we will expose an overview trough a comparative study about the used methods and approaches in the green supply chains modeling.