Considering that the regulating physical mechanism of the magnetic field on electrolytic plasma is insufficient, this study introduces a plasma discharge model to demonstrate its effect on material removal in magnetic-electrolytic plasma polishing. Firstly, we establish a mathematical model to describe plasma discharge induced by electron collision. The Boltzmann kinematic equations are employed to elucidate the physical dynamics of electrons and their momentum distribution function during ionization collisions. Secondly, we derive the surface material removal equation based on the instantaneous high-temperature melting of plasma discharge and establish the corresponding boundary conditions for simulation calculations. Subsequently, we conduct electromagnetic plasma polishing experiments under varying magnetic field intensities using TA1 titanium alloy as the test material. Our simulation results demonstrate that the magnetic field enhances the spatial electric field formed by the uneven distribution of ion electrons, expediting the plasma discharge process towards the anode and generating interference currents to counterbalance the required material removal current. Experimental data is provided to validate the model, consistently revealing a positive correlation between circuit current and material removal rate. The research demonstrates the rationality and reliability of the material removal model for plasma discharge, offering a fundamental understanding of electromagnetic plasma polishing.