The Global Administrative Law has emerged in our environment as a legal position that allows us to understand the different forms of global administration and the impacts generated by them. From the construction perspective of the same, we propose a parallel reading of the classical theory of the emergence of administrative law and the forgotten theory of public administration, as a starting point, which is impossible to examine this information and diffuse, ignoring the essence real of its existence, now extended to the supra-state space. It is at this moment when we should prefer the integrality of the same, including a novel and reading test, the product of the dynamics posed by actors external to the states themselves, which allows the insertion of a vision beyond the national recovery in the administrative world Law -GAL-, which is called to answer several questions about the legitimacy or legality of a number of actions or actions that are presented by institutions, organizations or entities of multiple legal nature, within a well-founded conceptual scheme in global governance, whose field of action is found in a single global administrative-legal space. So, we have to situate the appearance of the LAG, analyze its foundations, concepts and principles with the American and Italian theories, without neglecting the assessments made by some thinkers and doctrinants about it. Finally we chose two cases of local and global transcendence, on which the vertices studied the theories, in one of them to arrive at a conclusion different from the one known in our environment, and with the other, to elaborate a novel scheme of analysis of the global issue of action. Finally, we understand that this position, even in construction, must be nourished by academic interdisciplinarity in order to be taken to the practice of law practice