Hypertension is associated with a greater risk of developing a stroke or a coronary heart disease, but remains, for the meanwhile, undertreated in a vast majority of patients. Non pharmacological interventions can reduce blood pressure and should be recommended to every patient suffering from hypertension. Nevertheless, a drug therapy must often be introduced. The threshold at which a treatment should be started depends mostly on the cardiovascular risk of each patient and the benefit of antihypertensive drug therapy depends primarily on the reduction of the blood pressure itself.