The psychological effects of stress have both short-term as well as long-term reactions, which indirectly has a monetary cost to business. Among many other personality dimensions, Emotional Intelligence which involves the ability to fairly and accurately perceive, appraise and understand emotions both in oneself and in others, has been identified as having a strong association with stress. Therefore, this study, primarily analyses if there exists a relationship between stress and emotional intelligence. The study includes 480 executives from the banking industry in Chennai, with 262 women and 218 men. The Emotional Intelligence tool developed by Richard Boyatzis et al (1999) and the Organizational Stress scale developed by Carol. A. Beatty’s (1996), with a cronbach’s alpha co-efficient of 0.85 and 0.97 both significant at 0.01, respectively have been used in this study. Statistical tools such as simple correlation, mean, S.D. and F-ratio have been used for the purpose of analyses.