The invention discloses a dual-motor drive system and a control method of the dual-motor drive system. The dual-motor drive system comprises a first drive motor, a second drive motor, a first input shaft, a second input shaft, a power output mechanism, a first-gear driving gear, a first-gear gear clutch, a second-gear driving gear and a second-gear gear clutch, wherein the first input shaft and the second input shaft are coaxially arranged, the first input shaft is sleeved with the first-gear driving gear without contact, the first-gear gear clutch is fixedly connected to the first input shaft, the second input shaft is sleeved with the second-gear driving gear without contact, the second-gear gear clutch is fixedly connected to the second input shaft, the first input shaft is fixedly connected with the first drive motor, the second input shaft is fixedly connected with the second drive motor, and the first-gear driving gear and the second-gear driving gear are both fixedly connected with the power output mechanism. Efficient power output without power interruption is conducted in various power coupling modes, the drive states of the motors and the gear of a gearbox are selected according to the vehicle running condition, the motors are in efficient areas all the time, so that power compensation is conducted in the gear shifting process, and the purpose that power is output without interruption is achieved.