There are many case reports of serious complications and death among obstructive sleep apnea patients (OSA) during general anesthesia or postoperative analgesia. Sedatives and anesthetic agents, pharyngeal anatomy of these patients, opiates given for analgesia, and post operative REM sleep rebound represent potential hazards for general anesthesia in OSA patients. Ideally these patients should be treated with continuous positive airway pressure (CPAP) during premedication, directly after extubation and during postoperative analgesia. Unfortunately, only about 20% of these patients are diagnosed before surgery. A special attention should be given to the symptoms and signs suggestive of OSA during preoperative visits. Screening tests should be performed in patients with suspected OSA and, if positive, a treatment should be initiated.