Although the study of factors affecting career success, have showed connections between biographical and other aspects related to the ability, knowledge, or personality, not many works have proved the relationship between emotional intelligence and professional success. However, when these studies were carried out, results showed significant relationships between the dimensions of emotional intelligence (emotional self-awareness, self-regulation, social awareness or social skills), the level of professional competence and career success indicators, both extrinsic (salary or professional level), and intrinsic (job satisfaction). In this paper, we analyze the relationship between perceived emotional intelligence, measured by the TMMS-24 questionnaire, general intelligence assessed by Cattell factor "g" test, scale 3, and career success, objective and subjective, in a sample of 130 graduates who are at the beginning of their career. Results from hierarchical regression analysis indicate that for career success measures used, the perceived emotional intelligence shows a higher correlation and make a greater contribution to professional success than general intelligence. Implications of these results for the development of socio-emotional skills in University graduates are discussed.