Since the original UN approaches between 1988 and 2000, the global policy to combat drugs, transnational crime, and terrorism has achieved key objectives in its formulation and implementation. However, these efforts have not been sufficient to control all the phenomena associated with these problems, which, in the current context of globalization, are beginning to generate large areas of influence and territorial control dynamics in different regions of the world. This situation has forced governments to understand the criminal phenomenon from a global perspective, especially in the last thirty years. Therefore, this document illustrates the current situation of drug trafficking and terrorism as transnational crimes. It uses a critical analysis as the analytical framework to define relations between the phenomenon and its effects. The basis is the implementation of public policies to fight it. It also discusses a brief analysis of the results of the operations that have been developed. It analyses the Colombian case, and its work with allied countries in the region, to conclude with a synthesis that contributes to the discussion on how crimes are confronted as transnational crimes.