Emergency department (ED) health care providers had one of the highest incidences of burnout just before the pandemic. Personality type influences the way we communicate and relate to others, as well as our reaction to stress. In evaluating the causes of burnout, we take into account several factors, the most important of which being the conditions of the professional environment, interpersonal relationships and personality traits. This study aims to identify and analyze the relationships between personality traits and burnout syndrome in medical staff in the Emergency Department. A descriptive, multicenter cross-sectional study project was used to collect data from 60 physicians and nurses from the Emergency Department of the County Emergency Clinical Hospital Galati. The tools used, distributed to participants to collect socio-demographic details, included the Eysenck Personality Inventory (EPI), and a pilot questionnaire. The questionnaire consisted of 11 questions, concerning exhaustion level, and focused on stress-generating elements and emotional management in the Emergency Department during the pandemic. A large percentage of doctors in ED (45.8%) (n = 24) indicated a high level of exhaustion, while only 30.6% (n = 36) of nurses indicated a high level of exhaustion. Physicians displayed a higher level of stress than nurses, with 66.6% (n = 24) of physicians indicating an increased level of stress, compared to only 36.1% (n = 36) of nurses. A large percentage of nurses indicated a high level of depression (36.1%), whereas only 25% of Emergency Department physicians indicated a high level of depression. The individuals with a melancholic and choleric temperament, as rated by the EPI, appeared more susceptible to developing burnout syndrome. The indication of instability or neuroticism appears to enhance the occurrence of burnout syndrome. There was also a correlation between extraversion and a high level of burnout, with extraverted individuals more easily reaching a high level of burnout. The results indicate a greater occurrence of exhaustion and stress in Emergency Department physicians compared to nurses in the Emergency Department. From the results, we can propose that there is a relationship between the personality traits as measured by the EPI and the occurrence of burnout syndrome. These findings may help to understand the vulnerability of medical staff to burnout, and to pre-emptively support them to deal effectively with stressors in the work environment.