The international criminal justice seems disabled in the absence of police means. The assistance of States is therefore necessary. With regard to the International Criminal Tribunal for Rwanda, the quality of such cooperation is an important factor for the efficiency of the Tribunal. This paper analyzes and presents the successes and failures of this cooperation. It highlights that the poor political support extended to the Tribunal by African States within the United Nations despite their numerical importance should not be understated since such support in the diplomatic arena would certainly favour, in the opinion of the authors, a better perception of the Tribunal and contribute to reducing its financial and material difficulties. – Summary AFRI-2005