The debate on corporate social responsibility (CSR) has been on the public and academic agenda for several decades. In general, CSR issues can be divided into production-related issues (along the supply chain - or how things are made) and consumption-related issues (towards the consumer and society at large - or how things are used). Following the terminology of Phillips and Caldwell, upstream CSR refers to the CSR debate along the supply chain, and downstream CSR refers to corporate responsibility towards consumers and society at large. The chapter examines current CSR issues, and proposes a social connection model to understand the most recent CSR demands up and down the corporate value chain