The establishment of the African Court on Human and Peoples’ Rights presents significant differences from the establishment of all international criminal courts. Accordingly, the establishment of African Court was founded on the lake of cooperation of African governments with the International Criminal Court and the failure to accept the jurisdiction of the Court with respect to international crimes on the African continent. However, the establishment of such a court in various dimensions can pose major challenges in terms of jurisdictional overlap with the International Criminal Court. However, the Court of Justice, Human Rights and the African Nation acquired jurisdiction over international crimes across the African continent in 2014 with the accession of a supplementary document called the “Malabo supplementary document”. But, despite the inclusion of examples of war crimes in the document, it was considered as a re-reading of the regulations adopted in the Rome Statute. But, the issue was the establishment of jurisdiction in the jurisdiction of the African Court. The African Court of Justice, under the Supplementary Document, in response to war crimes, addressed challenges such as compliance with international humanitarian law standards in armed conflict, protection of children's rights, the use of nuclear weapons and genocide and so on.