By using a simple air-sea coupled model,the interaction of Rossby waves between the air and sea inthe tropics is discussed.It is shown that the coupling of Rossby waves in the two media produces notonly the westward propagating waves,but also a type of new wave which moves eastward.The eastwardpropagating waves exist in the scope of comparatively long wavelengths and this scope is governed bythe intensity of the air-sea interaction.In addition,instability may appear in both the eastward and west-ward propagating waves,and the wave amplifying rates are also governed by the intensity of the air-seainteraction.In the end,a possible explanation to ENSO events is given in terms of the air-sea interactionwaves.