Numerical investigation has been made on the stent design to minimize the neointimal hyperplasia. Computational fluid dynamics is applied to investigate the flow distributions in the immediate vicinity of the given idealized stent implanted in the blood vessel. Parametric study on the variations of the number of stouts, stent diameters, stent spacings and Reynolds numbers has been conducted using axi-symmetric Navier-Stokes equations. An initial difficulty in the study is to determine the optimal stent design to understand the flow physics of the flow disturbance induced by stent. The size of recirculation zone around stent is depend on the stent diameter, number of stent wire and Reynolds number but is insensitive to the stent wire spacing. It is also found that when the flow is in acceleration, the flow sees a more favorable pressure gradient, and the separation zones are smaller than the steady flow case. When the flow is in deceleration and the flow sees a more adverse pressure gradient so that the separation zones are larger.