One of the leading arterial hypertension pathogenetic consequences is the stiffness growth of resistive and large vessels, what aims researchers to evaluate not the only level of blood pressure or extend of vessels' wall remodeling but to investigate arterial rigidity. In this article interaction aspects of arterial hypertension, structure and functions of vessels, nosological and age changes of the vascular bed are discussed, as well as possibilities of effect on vessels' age. According to modern ideas vessels may be considered for the reason and target- organ of high blood pressure. In that case it is important to distinguish between changes of structure and function of vessels associated with arterial hypertension and changes related to age restructuring of the vascular bed. Among the perspective methods of arterial rigidity evaluation there is a contour pulse wave analysis, enabling us to evaluate a condition of cardiovascular system and define arterial age. Strategies of achieving healthy vessel aging imply first and foremost the correction of a lifestyle and if necessary medication treatment. Antihypertension therapy can improve arterial compliance through direct and indirect mechanisms of effect, preventing early vascular aging.