Because of we are facing the era of the energy challenges and potentially extreme climate change. Thus organizations cannot focus only on their business outcomes but they should focus on impacts to environmental and other stakeholders. Organizations were pressured by customer, government, and other stakeholders to take into account that sustainability performance is one of business core competitive. When the focal organization is pressured, it usually passes this pressure on to supplier. Here, one distinctive feature of sustainable supply chain management emerges. In order to survive and succeed, organizations usually use performance measurement system as a monitoring tool to determining their state and setting their direction to achieve business goals. But the limited of sustainability performance implementation can be observed. One of possible reason is sustainability is an immaterial value which eludes a precise mathematical definition or economic monitoring. Our research work aims to develop performance measurement tool for evaluating sustainability performance of supply chain. However, there are various approaches to measure sustainability of organization and supply chain but these existing approaches cannot be used as such to evaluate the sustainability in supply chain. In order to develop an appropriate measurement tool, we have to review the existing approaches to enhance conditions and limitations. Hence, this paper provided a systemic analysis of existing approaches based on performance measurement system design. The results of this paper lead to the directions of future research to design sustainable supply chain performance measurement system.