The Indian Ocean Dipole (IOD) event and ENSO event have been analyzed by means of multiple data and LMDZ AGCM. This article mainly concentrates on the correlation between double air-sea interaction events as well as the respective evolution characteristic of both phenomenon. Moreover, the instability of the ocean (atmosphere) with the special background and corresponding basic current is also considered and the analytical solution is got. The prominent content include such five parts, the cohere...