Abstract: Based on the basic principle of magnetohydrodynamics, a hyperbolic Hall electric field governing equation is constructed to meet the need of an efficient numerical simulation method for the electromagnetic control analysis of hypersonic vehicles. A new numerical simulation method of Hall electric field on unstructured hybrid grids is established by using the cell-centered finite volume method with in-house CFD numerical solution framework. The Rusanov scheme is used as upwind splitting scheme, and time marching is based on LU-SGS implicit algorithm. The accuracy, convergence characteristics and computational efficiency of the numerical method are evaluated and verified by the two case, and that is Poisson’s equation on cube region and the hall electric field on segmented electrode flow channel. The numerical simulation shows that the results of the present numerical method are the same as those of the traditional method, and has good convergence characteristics. For the case Poisson’s equation on cube region, the wall time required by the present method is 28.76% of that of the traditional method, while for the hall electric field on segmented electrode flow channel, the wall time required by the present method is only 0.61% of that of the traditional method. The new numerical simulation method of Hall electric field proposed in this paper has high computational efficiency.