In order to study the effect of MHD control on turbulent boundary layer separation of compression corners, the actuator model is developed and verified with a typical example. A numerical simulation of MHD control on the boundary layer separation of the compression corner is carried out to study the influence of various magnetic induction intensities on it. The results show that the numerical simulation results of the calculation method established in this paper are consistent with the experimental results, and boundary layer separation of compression corners is alleviated by applying MHD control. Under different magnetic induction intensities, the size of the separation zone decreases when magnetic induction intensity increases.