A hybrid power driving system includes an engine, a planetary gear device, a first motor, a clutch gear device, a brake device, an engagement device, an intermediate shaft, and a second motor, the engine and the first motor are connected by the planetary gear device which includes first, second and third rotating elements; the clutch gear device is disposed between the first motor and the planetary gear device, the clutch gear device includes a clutch and a clutch gear and an engagement element connected to the clutch, the clutch gear is connected to the intermediate shaft; the engagement device is configured to engage the third rotating element and the engagement element, or engage the third rotating element and the brake device, or only engage the third rotating element; the brake device is configured to brake or unlock the third rotating element; the second motor is connected to the intermediate shaft.