Numerical prediction is the core scientific and technological support for daily weather forecasting, climate prediction, and meteorological disaster prevention and reduction. In order to further improve the accuracy of prediction and extend the skillful prediction to much longer period, very high resolution, coupled system, multi-scale nesting, multi-scale ensemble, and earth system modeling are important development directions of the next generation of numerical prediction. The rapid development of heterogeneous multi-core high-performance computers and exascale computing provides an opportunity for this development, but it also poses a challenge to the numerical methods used in the existing operational numerical predictions. This paper only summarizes the numerical methods involved in the next generation of atmospheric models which focuses on three aspects: numerical algorithm, quasi-uniform spherical grid and time integration scheme, and aims at providing reference for relevant researchers.