The present work contains a general overview of the sentences of the Inter-American Court of Human Rights (IACtHR), which have recognised that crimes against humanity are pre-existing in customary law, and do not prescribe, nor can they be subject to amnesty or pardon. Specific attention is paid to the consequent restrictions and opportunities offered by said verdicts to countries such as Argentina, Chile, Uruguay and Peru, which find themselves in postconflict transition processes and where peace has been negotiated with certain groups and state structures that are responsible for carrying out crimes against humanity. In doing so, special attention is paid to the impact of the recognition of the nature of crimes against humanity on the notion of the principle of legality, stricto sensu; on the development and evolution of the doctrine and the practice of international human rights law in the inter-American context; and finally on the aforementioned processes of transitional justice.