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In the present numerical study, simple stenotic artery models using pulsatile flow condition were investigated. A reversing sinusoidal velocity for pulsatile flow was imposed at the flow inlet and the corresponding based on the vessel radius. The stenotic geometries modeled using mechanical 3D CAD. It has been used that consist of 0.2, 0.4, 0.5 0.75 and 0.8 stenotic rate in a cylindrical tube. In this paper, numerical solutions are presented for a second harmonic oscillatory flow using commercial code CFX 14. As stenosis rate increases, the maximum wall shear stress(WSS) increases while the minimum WSS decreases. As the stenotic rate increases, the pressure drop at the throat severely decreases to collapse the artery and plaque. It is found that the fluid mechanical disturbances due to the constriction were highly sensitive with rate of stenosis. When stenosis rate increases, the recirculation region exists. In this recirculation region the possibility of plaque attachment is increasingly higher. The present results enhance our understanding of the hemodynamics of a stenotic artery.