A hybrid power system and an operating method, a torque distribution method and a gear shifting control method of the same. A transmission of the hybrid power system employs two independent input shafts and two motors which are in transmission connection with the two input shafts respectively, and an engine is in transmission connection with one of the two motors via a clutch. In this way, in one aspect, a torque compensation can be constantly carried out in a gear shift process of the hybrid power system, thereby avoiding a torque interruption phenomenon for the hybrid power system in the gear shift process; in the other aspect, the hybrid power system can enable a serial mode in which one motor is driven by the engine to charge a battery while the other motor is driven to transmit torque to the transmission for driving.