Abstract: An attempt has been made to investigate the Non-Newtonian behavior on blood flow through a stenosed artery using Power-law fluid model. Numerical illustration presented at the end of the paper provides the results for the resistance to flow, apparent viscosity and the wall shear stress through their graphical representations. It has been shown that the resistance to flow, apparent viscosity and wall shear stress increases with the size of the stenosis but these increases is comparatively small due to Non-Newtonian behavior of the blood indicating the usefulness of its rheological character in the functioning of the diseased arterial circulation.