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This paper proposes a speed synchronization strategy for a mono inverter dual parallel (MIDP) drive system with surface-mounted permanent magnet synchronous motor(SPMSM). One motor in a MIDP system is selected as a master motor which is a main controlled motor by an inverter, and the other motor is selected as a slave motor which is controlled with a master motor at the same time. Since a mono inverter controls two motors in a MIDP system, applying a general control method causes a speed difference between the two motors. A difference also causes stepping-out in a slave motor. Therefore, an additional control method is required for synchronization between the two motors. The proposed control method stabilizes the torque of a slave motor by applying a torque oscillation reduction method and synchronizes the speed with a master through the simulation results.