This study analyzes a case study of a Public Institution of Higher Education, where the phenomenon of Burnout or Burnout Syndrome is presented in a group of employees who provide service to the public. For this analysis, the Maslach Measurement Instrument (1986) was applied to a population of 70 administrative employees. The measurement instrument consists of 22 items that are rated on a Likert-type scale. The subject rates, by means of a range of 6 adjectives from "never" to "daily", how often he/she experiences each of the situations described in the items. The factorization of the 22 items yields in most of the papers 3 factors that are called emotional exhaustion, depersonalization and personal fulfillment at work. The findings show that the emotional exhaustion or burnout syndrome manifested by the employees has caused them to lower their work performance and productivity and some show physical signs of illnesses that are manifested in their absenteeism and apathy towards their work, resulting in high correlations between the variables of the Maslach Model and the Burnout Syndrome.