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This chapter provides a literature review on the topic of emotional intelligence (EI) in the workplace. Quantitative methods were used, with surveys sent to a predetermined sample and processed with the SPSS statistical package. The overall aim of the study was to investigate the effect of EI based on self-awareness, self-management, empathy, and relationship management on work engagement in a public university. One hundred eight professors at the public university. The data for this study were collected by means of a questionnaire. In total, there are 23 questions on a Likert scale. Cronbach's alpha showed that the reliability of the instrument was higher than 0.763. In light of the data, it has been shown that there is correlation between self-awareness, self-management, relationship management, empathy with both work engagement and job satisfaction. Furthermore, the results show that EI is significantly related to both university loyalty and job happiness. Only a conditional link was created between professors' achievements and the success of the public university.