Mitigating carbon emission in inventory has become an important issue for companies. Nowadays, companies are looking for solutions to reduce the carbon emission due to carbon policies imposed by various regulatory bodies. Not only for regulations, ISO certification, business competitive and customer satisfaction also encourage organizations to adopt green practices in their supply chain. In this paper, we develop a new sustainable inventory model considering carbon emission function which includes different sources of pollution. A mathematical model is to determine the optimal order quantity and total cost of this system. A numerical example is illustrated to present the proposed model.