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This paper focuses on the study of how to decrease the value of the cogging torque in an Inset Permanen Magnet Generator. The permanent-magnet generator of an integral slot number with 24 slots and 8 poles was selected and investigated for the purposes of this study. The cogging torque of the permanent-magnet generator can be minimized by combining two slottings in the magnet edge with a gradually inclined surface end. The electromagnetic simulations and analysis of the permanent-magnet generator studied were performed using numerical analysis by means of FEMM 4.2. To obtain a faster computation, FEMM 4.2 was combined with LUA 4.0 programming. Using FEMM 4.2, it was found that by applying two-step slotting in the magnet edge combined with a gradually inclined surface end, the cogging torque of the permanent-magnet generator selected can effectively reduce the cogging torque of the machine by approximately 98.14% compared against the initial magnet model. It can be concluded that the integration of the two-step slotting in the magnet edge and the gradually inclined surface end can effectively reduce the cogging torque of the permanent-magnet generator machine. Furthermore, decreases in the density of the magnetic flux in the core of the permanent-magnet generator can also be found.