The present article of research results is the product of a research work, which aims to analyze the exercise of conventionality control by administrative judges in Cúcuta.However, under the respective orders issued by the Inter-American Court of Human Rights in which it declares Colombia internationally responsible for the violation of multiple prerogatives recognized in the American Convention on Human Rights, which is why it is important to determine the existing mechanisms at the Inter-American national against the fulfillment of the orders issued by the Court.To this end, the analysis of content and instrument was adopted as the technique of the documentary analysis matrix, favoring a practical research interest of a qualitative nature, reaching the position in which an "appropriate" and "adequate" control of conventionality is constituted as an instrument for the correct enforceability of the orders issued against Colombia.