The appearance of stress in the workplace has certainly become a normal phenomenon today. As a result of exposure to stress and an inadequate way of dealing with it, burnout syndrome occurs at the workplace. This phenomenon is particularly interesting in the case of services that have the task of emergency intervention in case of need. There are numerous studies on the burnout of employees of the Institute for Emergency Medicine in the Republic of Croatia. This paper will investigate the burnout of the employees of the Institute for Emergency Medicine of the Lika-Senj County. As part of the research, a survey was conducted among the Institute's employees with the aim of examining the degree of employee burnout. The questionnaire consisted of questions that provide a descriptive data of the respondents, a Questionnaire on the intensity of burnout at work and a Brief COPE questionnaire. The data were analyzed using the SPSS statistical program. It turned out that the Institute's employees are in the initial stage of burnout, but the burnout syndrome is not conditioned by the age and level of education of the employees. Respondents deal with stress in constructive ways, and very rarely and in small numbers resort to destructive ways of coping. Psychological counseling within the workplace is available only to a few employees, which led us to the conclusion that the management should provide this way of helping all employees in order to adequately cope with stress and reduce of the burnout degree.