This chapter provides a brief overview of the international law relating to liability for environmental damage, and identifies, on a preliminary basis, potential issues arising in developing and applying liability rules in respect of environmental damage in areas beyond national jurisdiction (ABNJ). The chapter provides an overview of the current legal and institutional arrangements governing the ABNJ that are the focus of the book -- Antarctica, the deep seabed and the high seas – as well as highlighting some of the environmental risks posed to these areas by current and prospective activities.