Stratospheric sulfate aerosols play an important role in the radiation and chemical equilibrium of the global atmosphere, and have significant impact on global climate changes. The numerical simulation of stratospheric aerosols is one of major methods in studying the concentration, particle size distribution, and chemical composition of stratospheric sulfate aerosols. A brief review of the development and application of stratospheric aerosol models are given, and comparison between five stratospheric aerosol models that have been widely used in recent years is conducted. Special attention is paid on the differences between simulation results and satellite observations on the distribution of OCS (Carbonyl Sulfide) and SO2, and it is found that all five models can represent most of the characters of stratospheric aerosols and their precursors, but each has its own limitations. The prospects for future stratospheric aerosol model development and issues need to be improved are also discussed.