Cardiovascular disease that is one of Non-Communicable Disease accounts for about 25% of death in Japan. Prevention of arteriosclerosis that is a main cause of cardiovascular disease is important. Since an early lesions of arteriosclerosis progress as functional change of an endothelial cell that is uniformly distributed on the luminal surface of a blood vessel, an accurate evaluation of the endothelial cell function is important as prevention of the arteriosclerosis. Although Flow-Mediated Dilation (FMD) is widely used as a diagnosis of the endothelial cell function in clinic, it is an evaluation method that uses a static diameter of a blood vessel. Moreover, it isn’t possible to take into account individual difference of a wall shear stress on the endothelial cell. In previous study, it is found that an evoked hyperemic wall shear stress is a major correlate of %FMD. In order to accurately measure the endothelial cell function, it is necessary to simply assess the hyperemic shear stress during FMD. However, it is difficult to non-invasively measure the hyperemic shear stress on the endothelial cell in clinic. In this study, we focused on a blood pressure data that is obtained non-invasively and formulated a relationship between the pressure and a flow velocity based on the coupled wave theory. And we estimated a hyperemic shear stress by using a blood pressure data that is obtained by a tonometry method in experiment that simulate FMD. As a result of estimating the hyperemic shear stress, it reflected characteristics of blood flow in clinic. It may be necessary to consider the hyperemic pressure fluctuation that is waves including low frequency components. Moreover, the hyperemic pressure fluctuation should not be treated as a waveform that has individually different a static pressure in estimation of the hyperemic wall shear stress.