Purpose – The purpose of this paper is to discuss what a fully sustainable supply chain might look like and the consequences that can be drawn from this view. Also, it develops a practical approach towards sustainability supply chain performance measurement and management. The paper develops an analytical framework for the assessment of approaches for the measurement and management of sustainability performance of supply chains (SPSCs). Little research has been conducted on the issues, existing methods and possible approaches to measure and manage SPSCs. Design/methodology/approach – Literature review and conceptual development of framework. Findings – The paper develops an analytical framework for the assessment of approaches for the measurement and management of SPSCs. Existing approaches discussed in the vein of improving supply chains and increasing recycling are examined in the light of our framework, and areas to extend the research on sustainability performance measurement and management are identified. Research limitations/implications – Opportunities for extension of research on sustainability performance measurement and management of supply chains are identified. Practical implications – The framework offers help to managers in their choice of sustainability performance measurement and management approaches. Originality/value – The paper provides a structured overview of sustainability performance measurement and management literature and approaches to supply chain management. The framework proposed provides a foundation for further research.