The invention discloses a hybrid power transmission and a hybrid power driving system. The hybrid power transmission comprises a first input shaft, a second input shaft, an output shaft, a coupling gear pair, a first gear shifting gear pair and a second gear shifting gear pair, wherein the coupling gear pair is arranged between the first input shaft and the second input shaft, the coupling gear pair is used for coupling the power of the first input shaft and the power of the second input shaft and transmitting the power to the output shaft, the first gear shifting gear pair and the second gearshifting gear pair are located on the two sides of the coupling gear pair correspondingly, a second clutch enabling the output shaft to be in transmission connection with or separated from the firstinput shaft is arranged on the first gear shifting gear pair, and a third clutch enabling the output shaft to be in transmission connection with or separated from the second input shaft is arranged onthe second gear shifting gear pair. The hybrid power driving system comprises a battery pack, a first inverter, a second inverter, a first power source, a second power source, a differential mechanism and the hybrid power transmission. According to the hybrid power transmission and the hybrid power driving system, the fuel consumption can be reduced, and the electric energy utilization rate can be improved.