Abstract: Disclosed are a hybrid power system of a vehicle and a control method therefor. The hybrid power system of a vehicle comprises: an engine; a dual-clutch automatic transmission comprising an ISG motor; a first power unit and a second power unit; a power battery, the power battery being connected to the ISG motor by the first power unit; a power battery manager, the power battery manager being connected to the power battery and used to test an SOC of the power battery; a rear wheel drive motor, the rear wheel drive motor being connected to the power battery by the second power unit, and the rear wheel drive motor being connected to a rear speed reducer of the vehicle; and a vehicle controller, the vehicle controller being connected to the power battery manager, and the vehicle controller controlling the vehicle to enter a corresponding operating mode according to the SOC and drive required torque WTD at a wheel of the vehicle.