Abstract: A staionary, linear atmospheric model neglecting Reyleigh friction and Newtonian cooling is used in conjunction with a nonlinear ocean model with semi-geostrophic approximation.(The ocean is affected by the atmosphere by linear wind stress and the atmosphere is influenced by the heating of SST) The effects of coupled ocean atmosphere interaction(represented as R) on the linear and nonlinear coupled Rossby waves are discussed with travelling wave method. The results show that strong(weak) ocean-atmosphere interaction instablizes the west(east)-propagating isolated Rossby waves. Additionally, the influence of the ocean-atmosphere interaction on the intensity and width of Rossby soliton is also discussed.