The complexity of projects of international cooperation (IC) and especially the characteristics which are similar to those of social, international projects in the public sector, and the amount and diversity of the interested parts, makes it necessary to implement strategies when handling conflicts in order to maintain the project according to the established plan and get benefits based on its objectives. This empirical cross-cutting research has as main objective to identify the conflict management process in project teams of international cooperation in Colombia and determine the great influence observed in the style of handling the conflict on the performance of the project. The results showed that the cooperative and collaborative styles are significantly and positively related to the project performance whereas competitive and evasive styles affect significantly and negatively the performance of the project of international cooperation in Colombia.