Colombian armed groups have seen drug trafficking as a source of funding for their subversive activities, and this has been one of the key points in the peace talks between the government of President Juan Manuel Santos Calderon And the Revolutionary Armed Forces of Colombia (FARC-EP) in recent years. In which the existence of the connection between the criminal type of drug trafficking and political crime was raised, in order to ensure that the legal benefits inherent in political crime were granted to the crime of drug trafficking; Enabling a legal environment consistent with the peace agreement and the end of the war between the FARC-EP and the Colombian State. According with the above, the present article seeks to answer the question: Is possible the legal connection between the criminal type of drug trafficking and political crime was raised? It question will be solved from three moments: i) In the first part, it makes an approximation to an optimistic legal bet, which accepts the connection between drug trafficking and political crime, developing the notion of connectedness in the broad sense And in the strict sense. Posture to which the present investigation is adhered as central hypothesis. ii) Secondly, the essay shows a negative legal position that does not accept connectivity and which is explained through three sub-groups: a) the crime of drug trafficking as a crime against humanity; b) decriminalization of the crime of drug trafficking; And (c the elimination or redefinition of political offense. In a third part, and as a finding of the present investigation, the essay shows the existence of a rupture in the criterion of legal unification against the object of study is exposed. To conclude with some conclusions, which indicate the importance of thinking about the crime of drug trafficking in connection with political crime, as a solution consonant with the peace agreement reached between the Colombian government and the FARC-EP guerrillas.