The RCS of a lossy material coated conducting cylinder has been computed and analysed, and a numerical method for computing creeping wave propagation constants and amplitudes on the surface of the cylinder is presented in the paper. On the surface of a conducting cylinder,the defect of low precision for creeping wave propagation constants obtained by Keller's formulas at low frequency is overcome by the method. Propagation constants and amplitudes of creeping wave current modes on the surface of a lossy material coated conducting cylinder.which are hardly obtained by GTD, have been resolved.