In the power system, electromagnetic transient simulation analysis is an essential part of it. Due to the large scale of power grid, high accuracy and efficiency of simulation, as well as a large number of power electronic devices are used in power system, the performance requirements of power system simulation are higher and higher. Numerical integration algorithm is the core of the current transient simulation analysis. Firstly, through the summary of the theoretical basis, this paper analyzes the causes and solutions of the numerical oscillation problem in the existing electromagnetic transient simulation. Starting from the stability, accuracy and efficiency of numerical integration algorithm, this paper discusses the calculation format, simulation characteristics, field application and research status of common integration algorithm and new integration algorithm applied in electromagnetic transient simulation of power system. Through quantitative analysis, the characteristics and advantages and disadvantages of each algorithm are explained. Finally, a summary is made.