We report two patients with arterial hypertension (AHT) secondary to Conn's disease and cerebral vascular accident (CVA). Both had histories of long-standing AHT that had been poorly controlled with drugs, though no complications had developed up to the time of presentation. One CVA was a hemorrhage in the right capsular-lenticular region and the other was a cerebral ischemic infarction. Blood tests done upon admission found low potassium levels. The final clinical-pathological diagnosis was primary hyperaldosteronism secondary to suprarenal adenoma. After laparoscopic surgery AHT reverted to normal in one patient. Although Conn's disease is a rare cause of AHT, early diagnosis and treatment can provide a cure and prevent the development of severe complications.