The design of methodologies for Process Management requires carrying out a research work which takes into consideration the general concepts and tools concerned with process evaluation, improvement and control, to integrate by means of a system approach, day to day management with institutional strategies. This paper is aimed to show the stages and the main tools of a methodology for process quality management in higher education institutions, as well as its application in a process improvement at a Colombian official university using management and statistical tools and the process management plan. As a main result, process effectiveness was raised and actions for continuous process improvement were proposed. Palabras clave Calidad en la educacion superior; mapeo de procesos; gestion por procesos; mejora de los procesos; control del proceso de ensenanza.