Arterial hypertension is a well-documented modifiable risk factor for cerebrovascular disease and for both cerebral infarction and intracerebral hemorrhage. Recent studies indicate a relationship between high blood pressure in midlife and dementia in late life and suggest that arterial hypertension may represent a cause of vascular dementia (VaD). This paper has reviewed the main evidence of a link between arterial hypertension and vascular cognitive impairment or VaD. Brain lesions induced by hypertension, diagnostic procedures for early diagnosis of vascular cognitive impairment in at risk subjects and the need to include cognitive assessment in patient's general visits in hypertension units are discussed.