Nowadays, for the surgical cure of cholelithiasis, the laparoscopic cholecystectomy is popular due to cosmetical small incision, less post operative pain, early recovery time, short time hospital stay and early mobilization.But,this operation also induce stress response as other operation do due to surgery intervention and drugs uses in anesthesia. So, to neutralize that response we have to use analgesic and sedatives. Among many analgesic and sedatives, since recent years Dexmedetomidine is frequently use because of its useful adjuvant properties with general anesthesia to attenuate hemodynamic responses of pneumoperitoneum in laparoscopy surgeries. It is an alpha-2-adrenergic agonist, has properties of analgesia, sympatholysis and titrating sedation without major respiratory depression and to decrease post-operative analgesic requirements.