Sector of service in most of Developing countries suffers from shortage of qualified human resources,which is determined the concentration of  human  performance and   his productivity and study the problems which affect on them ,maybe  exposing the worker person to high level of work stress is considered as most important of this problems,this according to which it left from Psychological and physical  bad effects on person and therefore on the organization and on the society  in general,so the researcher tries in this study to reach to know  the relation  between  the Emotional intelligence and  the  styles  of encountering  the Psychological, social and environmental  stressfor workers in human resources sector which exposing to it the workers at  Electricity Distribution Company.The researcher distributed the research  questionnaireon the worker at sector of human resource in two region of Southand North Cairo Electricity and the sample of study reached 126.The results showed  that there is negative  relationship is statistically significant between the Emotional intelligence and  the  styles of encountering  the Psychological, social and environmental  stress,also there is no statistically significant difference  between south  region and north region at work environment  stress , social stress ,work stress and professional role stress, and there are statistically significant differences between them at Cognitive stress and  behaviorism  stress favor  to  south  region therefore south  region exposed to Cognitive and  behaviorism  stress more than  north region.there is no statistically significant differencesbetween males and females at  the socio-psychological and environmental stress.