This work seeks to investigate a few of the conditions of possibility for a concept of Genocide. By establishing an analysis that tries to reconcile the basis under which the creation of the concept in 1944, as well as its reception, take and dispute of what the concept must (have) mean(t) between 1944 and December 1948, when the Convention on the Prevention and Punishment of the Crime of Genocide was approved by the United Nations General Assembly, this work aims for an understanding of a few of the political and social limits on the employment of the term Genocide. More than just considering the politicisation (Politisierung), it is argued that a certain understanding of what Genocide is or ought to be, be it through the proposed temporal frame or through the debates that follow in the Field of Genocide Studies, requires an approach that reflects on the multiple temporalities that each claim for a certain meaning that is brought within the Concept.