Abstract: In order to simulate the large-scale dynamic process and improve the numerical weather prediction, a primitive equation hemispherical model is developed. Characteristic features of the model are as follows: The thermodynamic equation is written in the form as equation(6).The difference schmes of the model preserve total energy but the difference schemes of the pressure gradient and hydrostatic relation have not any constraint. The physical factors of orography, friction, horizontal diffusion, large-scale precipitation, evaporation and various non-adiabatic heating are included. The radiational heating and cooling is designed to evaluate directly from the differential expression(21) and(22),and the ground temperature is calculated from the solution(24) without iteration. The model was tested to give an example of 48 hours predition.