The University is established since its creation three units, which are located in Iztapalapa, Azcapotzalco and Xochimilco, with the idea of promoting decentralization and allow the full development of each. Empirically, scientific research in Iztapalapa (UAM-I) Unit is located, the traditional careers such as civil engineering and architecture at the Azcapotzalco (UAM-A) unit and the area of health in the Xochimilco Unit (UAM -X). Subsequently, it was decided that their internal organization would be composed of divisions and academic departments, creating a contrast with the Schools and Colleges of existing universities. Each division would group different areas of knowledge and related disciplines each department, in order to give a flexible structure that prevents the lag that education has suffered in relation to the progress of science.The first Rector of the Iztapalapa Unit was Dr. Alonso Fernandez González and began operations on September 30, 1974.In turn, the Rector of the Azcapotzalco Unit was Dr. Juan Casillas García de León, which opened its doors 11 November 1974. For the Xochimilco was Rector Dr. Ramon Villarreal Perez, initiating teaching also the November 11, 1974.Recently, the possibility of creating a new unit of the UAM was analyzed. The April 26, 2005 the Academic College of the institution approved the creation of the Cuajimalpa campus, appointing in June of that year Dr. Fresán Magdalena Orozco as the first Rector. The activities of the Unit officially pulled the September 14, 2005, using different locations, at first at the Universidad Iberoamericana. Then he took three temporary facilities: Baja California, Artifice and Constituents Constituents adding a fourth in 647. His final location was achieved in 2014 on the grounds of "Scorpio", ancient land of the Zona Especial Forestal y de Repoblación Bosques Industriales La Venta, which had not been built by the lack of legal certainty and the opposition of local people to Ocotal forest development in the sale of Cuajimalpa.