The on-surface radiation condition （OSRC） method which is based upon radiation boundary condition applied directly on the surface of a scatterer is a high-frequency approximate approach for electomagnetic scattering. In this paper the point matching method is used to solve OSRC equation for the scattering magnetic field on the surface of a perfectly conducting cylinder for TE polarized incident wave. The cases of circular and elliptic cylinders are used to show that OSRC method is suitable for scatterers with electrical-large dimension and large radii of curvature of the surface and yields good results for the surface current and the radar cross section. This method is simple and convenient for engineering applications.