Arterial stenosis is a common disease and major cause of death in developed countries. Because of the important role of hemody namic factors in the formation and progression of the stenosis, modeling of blood behavior has been studied by researchers for many years. In the present study, blood is simulated as both steady state and pulsatile laminar in a common carotid artery with an axisymmetric stenosis assuming rigid and impermeable walls. Governing equations, continuity and momentum, have been solved by finite element method. Newtonian and six non-Newtonian models are used to describe blood behavior. Hematocrit is applied in modified-Casson and Walburn-Schneck models. Hemodynamic parameters such as radial velocity, wall shear stress, global importance factor, separation and reattachment points have been calculated. According to obtained results, separation zone is the longest for Newtonian model and is more affected under changes like Reynolds number and stenosis severity. At lower velocities global importance factors show more values and differences between models are more considerable. Basic difference between steady and pulsatile condition is for the recirculation zone length and global importance factors because blood flow can not adjust itself with velocity fluctuations at the inlet in pulsatile state.At low shear rates power-law model is not appropriate. Generalized power law and Carreau-Yasuda models show very similar behavior at most shear rates. Non-Newtonian effects become more significant by increasing hematocrit. The results have convenient agreement with previous works. Symmetrical 30%–70% stenosis in coronary artery with a semi-permeable wall under unsteady ?ows for Newtonian/non-Newtonian ?uids is investigated numerically. The results show that the unsteadiness of blood ?ow, blood pressure rise and LDL component size increase the luminalconcentration, LC, of the surface. The maximum LC occurring immediately after the separation point and the non-Newtonian fluid predicts higher LDL accumulation. LC decreased as the recirculation length is increased and reaches maximum at 50% stenosis. This process is used to estimate the time-dependent growth of the arterial wall. Increasing stenosis intensity causes flow patterns more disturbed downstream of the stenosis and WSS appear to develop remarkably at the stenosis throat. The instantaneousshearrateoveracardiaccyclevariesfrom zero toapproximately1000s_1 in severallargearteries. Keywords tenosis, Wall shear stress, Flow separation, Newtonian, Non-Newtonian blood flow, Global importance factor, Oscillatory shear index.