Blood flow to the living tissues of the body is the most critical processes in living organisms. Blood pressure and velocity in the blood vessels depend on the pumping ability of the heart rate, vessel diameter and flexibility, and the presence or absence of stenosis. Computational simulation and modeling is an effective tool to investigate the behavior of blood flow. Using the mentioned method it can be obtained detailed information about velocity profile, shear stress, pressure drops, stagnation points, stenosis, and clotting. In this paper, Computational Fluid Dynamics (CFD) is used to investigate aggregation of red blood cells in a rigid vessel wall while asymmetric stenosis occurred within it. The governing equations of the momentum, shear stress on the wall of blood vessel, and red blood cells movement in both normal and in the presence of a clot are numerically solved. The simulation results show that the presence of a clot in blood significantly affects the velocity, pressure, and shear stress, especially in stenosis.