In this paper, we proposed a momentum exchange impact damper using a solenoidal coil and a capacitor to suppress impact vibration. Noise and vibration generated by forging machines and press machines have been a serious problem. In order to reduce impact vibration, the momentum exchange impact damper has been studied by many researchers. The basic principle of this damper is based on the momentum transfer during the collisions of three rigid bodies. This impact damper is the most effective when the mass of the damper is equal to the mass of the bed of the forging machine. However, the mass of the damper is usually smaller than the mass of the bed for practical use. In this study, this problem was solved by using a solenoidal coil and a capacitor. The electrical charge stored in the capacitor flows through the solenoidal coil when the impact damper passes through the solenoidal coil using a switch. The electromagnetic force is generated by the electrical current, and the electromagnetic force absorbs the kinetic energy of the host structure. The effectiveness of the proposed method was verified through simulations and experiments.