Arc faults are highly harmful to power systems. Due to the expansion of transmission lines, the possibility of arc fault occurrence and the complexity of the location are further increased, so it is of great significance to locate and clear arc faults in time for the operation and safety of transmission line. Aiming at the problem that the electromagnetic time reversal (EMTR) method cannot locate the arc fault near the observation point, a two-terminal EMTR method based on the image minimum energy is proposed. The simulation results show that this method can locate the arc fault well. Through the simulation of different fault location step conditions, it is found that the maximum error of this method is 270 m when the arc fault occurs in the middle of the line.