Abstract: A four-layer baroclinic atmosphcric model is adopted to investigate how the nonthermal wind adjusts itself to the thermal wind state.The adjusting process is performed by four gravitational inertial waves whose wave front speeds are about 306 m/sec,114 m/sec, 36 m/sec, and 19 m/sec respectively. It is found that the higher the level the more important is the faster internal inertial wave in the process of adjustment,and that the external wave may be important only below the 750 mb level. The calculated results also indicate that the alternation of the divergence and convergence in the vertical, which is normally termed Dines' compensation, results from the formation of thermal wind under certain initial condition.Calculations of the adjusting process with different initial non-geostrophic states are carried out in order to study the development of the large scale weather system. For example, a non-geostrophic vortex in wind field on the 375 mb level can result in a high with the warm center in the troposphere and the cold center in the stratosphere. Two cases of non-geostrophic state with the same temperature distribution but situated at different layers of the troposphere will result in quite different flow patterns through the adjusting process. A warm center not in geostrophic equilibrium at lower layer, can only give result to a shallow warm low in the lower troposphere, but in the case of warm center not in geostrophic equilibrium at middle layer, an intense anticyclone forms in the high troposphere and even in the lower stratosphere. Finally a preliminary discussion is given to the adjustment of the non-thermal wind which is produced by the process of the formation of the extratropical cyclone.