This article aims to describe past and present state sponsorship of international terrorism in Africa. Firstly, it commences by exploring the differences between terrorism, international terrorism and state-sponsored terrorism. Secondly, it details the United States' list of state sponsors of international terrorism and the sanctions that accompany that list. Thirdly, international terrorism and state-sponsored terrorism in Africa, during and after the Cold War, are briefly discussed. Fourthly, two case studies regarding the state sponsorship of international terrorism in Africa are presented. The case studies include Libya, a previous state sponsor of international terrorism, and Sudan, currently on the United States' list of state sponsors of international terrorism. The case studies consider the history of these two countries as sponsors of international terrorism; the international community's attempts to prevent their involvement in international terrorism; how Libya succeeded in being taken off the United States' list; and Sudan's efforts to join Libya as a country that is no longer seen as a sponsor of international terrorism.