Through a critical examination of some of the prevailing arguments for establishing a criminology of genocide, this paper seeks to demonstrate the limitations of mainstream criminological frameworks for understanding genocide. Moreover, it argues that, if we are to move beyond a mechanical application of the criminological canon to this thus far understudied area of criminal behaviour, we must develop a critical and reflexive criminological approach to the topic of genocide. In this manner, the analysis presented here follows in the footsteps of Bauman [Bauman (1989). Modernity and the Holocaust. Ithaca, NY: Cornell University Press] by asking: what can genocide teach us about criminology? In addressing this question, three guidelines for a future criminology of genocide are proposed. Briefly put, a criminology of genocide should be: (1) reflexive and non-redemptive; (2) 'undisciplined' and critical; and, (3) responsible.