This paper wants to discuss the Max Weber´s definition of State understood as “any human community that successfully claims the monopoly of the legitimate use of physical force within a given territory “. The main purpose is to face this theoretical definition to the Somali state-building process that is being carried out since 2012. Firstly, this work takes under review the concept of “state legitimacy”, how scholars and researchers make that definition, and secondly, we apply the same process to the concept of “monopoly of violence”. Once we have explained and develop both concepts as a separate variables, then we take the Somali context under evaluation through the scope of both variables. Afterward, we use the state-fragility indexes made by Carleton University (CIFP) and Fund for Peace (FSI). These indexes give us as quantitative data that complement our theoretical work as an image of the Somali context. The main purpose is to try to measure variables related to the “monopoly of violence” and “state legitimacy” in order to evaluate the challenges of these variables on the Somali state-building process. And finally it is discussed how accuracy is the current state-building approach in context of state-fragility as in Somalia.