The goal of the present study was to investigate the associations between high intelligence, emotional intelligence (EI), and emotional hypersensitivity in a sample of 304 Mensa members. In addition, we aimed to shed light on how highly intelligent individuals process emotional information. In a previous study, we found that individuals with high EI in the general population are characterized by an attentional bias toward emotional information. We tested whether this effect holds for highly intelligent individuals by drawing on the same procedure: participants (N = 124 Mensa members) had to report a letter appearing behind a picture of a face with emotional or a neutral facial expression, and their reaction time to provide an answer was recorded. Comparing the results from the general population to those of Mensa members, we found that Mensa members did not show the attentional bias toward emotional information found in the general population. Mensa members were equally fast to evaluate letters replacing emotional and neutral expressions, and this result was not influenced by EI level. Possible explanations include the role of inhibitory processes (a factor related to intelligence), which might have contributed to treating emotional information as purely cognitive.