Abstract-In recent years, many toroidal HTS-SMES consisting of some superconducting element coils have been investigated and designed. In stable operation, the electromagnetic force applying to the superconducting element coils maintains balance because of the toroid structure and the same transport current of each superconducting element coil. However, if one of the superconducting element coils transitioned into a resistive state, the balance of the electromagnetic force would be broken down, and then the huge electromagnetic force would work onto the superconducting element coils. The huge electromagnetic force may overturn the superconducting element coils, and consequently a large accident occurs. However, the behavior of the overturning electromagnetic force after the transition of some superconducting element coils into the resistive state has been not yet well investigated. For the design of the HTS-SMES magnet, it is, therefore, necessary to investigate the overturning electromagnetic force on the design stage. We have developed a simulation code to investigate the behavior of the overturning electromagnetic force on the toroidal HTS-SMES system after the transition of one superconducting element coil into the resistive state. The magnetic field and the circuit analysis are coupled and solved in the developed simulation code.Index Terms-Electromagnetic force, HTS-SMES, magnetic field simulation, superconducting magnet.