In this paper, we study the buyback contract of a supply chain system including a supplier and a loss-averse retailer. The buyback contract was divided into the credit for all unsold goods and the credit for a partial return of goods. And then the paper models the two cases and carries out numerical simulation analysis. The results show that when the retailer is loss averse, the supply chain system is able to achieve coordination, the buyback price is an increasing, and buyback ratio is an increasing, while the wholesale price is decreasing function of the loss aversion of the retailer.