The loss of their cultural treasures through illicit excavation, illegal export, and trafficking and the associated harm to national identity and the rights of their citizens presents a major challenge to many countries around the world. The source countries tend, on the whole, to be poorer developing States while the importing market countries are rich States such as the United States, United Kingdom, Germany, Japan, and Switzerland. This chapter first provides a critical analysis of the international cultural heritage law governing this question, in particular the 1970 UNESCO Convention on Illicit Trade in Cultural Property and the 1995 UNIDROIT Convention on the Return of Stolen and Illegally Exported Cultural Objects. Following this discussion, and as a contrast to the purely cultural heritage-based approach, it focuses on two complementary efforts to combat cultural property trafficking as an international or transnational crime: the 2000 ‘Palermo’ UN Convention Against Transnational Organized Crime and the 2017 ‘Nicosia’ Convention on Offences Relating to Cultural Property.