Abstract: The effects of topography on the rays of stationary and low-frequency Rossby waves are discussed by using a fourth-order Runge-Kutta scheme. The results show that topography has great effects on the propagation and rays of Rossby waves. The mountain plays a barrier role for the propagation of stationary Rossby waves, and causes concentrating and moving towards higher latitude of wave rays. In the case of wave source to be located at the mountain center, the rays exhibit splitting structure for the mountain elongated in the westeast direction. and there is no splitting structure of rays for the mountain with the north-south direction stretching. The influence of topography on the energy propagation of low-frequency Rossby waves seems more complicated than that of stationary Rossby waves.