This paper investigates the mechanical stresses of a toroidal-type superconducting magnet (TSM). The TSM is designed by 3D CAD program. The Bi-2223 high temperature superconducting (HTS) wire made by soldering brass on both sides of the superconductor is used for the magnet winding. The TSM consists of 30 double pancake coils (DPC). Single pancake coils (SPC) constituting the double pancake coils are arranged at an angle of 6 from each other based on the central axis of the TSM. The mechanical stresses due to the Lorentz force caused by the operating current are analyzed using FEM. These fundamental data will effectively be applied to design a toroidal-type superconducting magnetic energy storage.