Although most of the firms’ top management now recognises the negative effects of supply chain disruptions on the firm’s performance, yet there is little guidance how to Designing Sustainable Supply Chain Network under Disruption Risks. Furthermore, carbon regulatory policies, such as the carbon tax, force companies to adopt supply chain designs that can cope with uncertain natural and human-made disruption risks. This paper proposes a model to tackle the trade-off between the total cost and the carbon tax charges in the design of supply chain network subject to potential disruption risks. The proposed model is a linear programming type that aims to identify the effects of the potential disruptions of external suppliers as well as the variability of order quantity, lead time, and transportation mode on the total cost and associated carbon tax charges of supply chain and in several scenarios of its design related to the changes in these variables. Based on sensitivity analyses, the disruption risks significantly affect the whole structure of the designed supply chains and must be taken into consideration for effective and efficient performance of sustainable supply chain networks. Supply chain managers can use the proposed model to design sustainable and resilient supply networks by considering sustainability via embodied carbon tax charges while coping with uncertain natural and human –made disruption risks