The Circular Economy is increasingly seen as a possible solution to address sustainable development. An economic system that minimises resource input into and waste, emission, and energy leakage out of the system is hoped to mitigate negative impacts without jeopardising growth and prosperity. This paper discusses the sustainability performance of the circular business models (CBM) and circular supply chains necessary to implement the concept on an organisational level and proposes a framework to integrate circular business models and circular supply chain management towards sustainable development. It was developed based on literature analysis and four case studies. The proposed framework shows how different circular business models are driving circular supply chain in different loops: closing loops, slowing loops, intensifying loops, narrowing loops, and dematerialising loops. The identified circular business models vary in complexity of the circular supply chain and in the value proposition. Our research indicates circular business and circular supply chain help in realising sustainability ambitions.