The international criminal law is a rich and varied subject bearing upon most of the great issues facing individual and international community. The paper aims at examining the role of international criminal court (ICC) in combatting crime against humanity and genocide. The study is designed to assess the parts played by the international criminal court in combating crime against humanity and genocides as well as challenges face by the international criminal court. To achieve this objective, we make use of primary and secondary method of data collection and analysis. Our findings revealed that, the international criminal court is not effective in combatting genocide and crime against humanity due to numerous challenges. Against this backdrop, we therefore, recommend among others that, all nations should subscribe to the ICC Statute and extend their whole-hearted support for the prosecution and related activities of the ICC especially joint investigation to establish evidence of genocides and crimes against humanity as well as diplomatic channels to deter and respond to emerging threats of genocide and crime against humanity. This and others will go a long way in curtailing the weakness of the international criminal court in combating genocide and crime against humanity.