The biomechanical properties of common carotid arteries in a large range of pressure wall in dependence of flow on anesthetized rabbits. In article is a semi-empirical nonlinear model of viscoelastic behavior of arterial wall in de-pendence of flow, parameter of which define by package of program NCN. Is shown, that the area of hysteresis loop depend on blood flow. The dependence of elastic modulus of pressure changes with increase of blood flow. A nonlinear form of a dependence of elastic modulus of pressure defines the role of vessel wall elements, value of pressure, with which different elements of vessels wall resists to arterial pressure.