Public universities attend oficial regulations, emanating from government agencies, for internal process management; it is beneficial that efficient mechanisms be applied for continuous improvement and therefore for the achievement of quality in management. In the case of study, the EFQM model will provide the information for achievement of the general objective that is: to propose a plan to improve the management of the Office of Social Projection, Cultural and University Extension of the Faculty of Physical and Mathematical Sciences of the National University Pedro Ruíz Gallo. The research is field, purposeful non-experimental, cross sectional. The population was made up of 1.926 students and 176 teachers. The data collection was done with the survey technique, with respectively validated instruments and for data processing the SPSS-23 software. There is evidence of deficiency in the management of the office of social projection nd university extensión, as well as disconnection of the university with the environment in aspect related to these activities. It is concluded that an improvement plan will transform the management of OPSECU towards total quality.