To further facilitate the stop control of an internal combustion engine in the vehicle operation by the driving structure of a hybrid vehicle with a transmission, and also to suppress the occurrence of shock or vibration caused by the rapid change of torque at engine stop.

In this hybrid vehicle-driving structure, the output shaft of the internal combustion engine 1 is connected to a first motor generator 8 and a wheel driving shaft 11 via a power transfer mechanism 3, a second motor generator 12 is connected to the wheel driving shaft, and a transmission 100 is provided at the side near the engine away from the connection part of the second motor generator on the halfway driving shaft. In the operation of the structure, when the engine is stopped, the torque transmittance between the input and output shafts of the transmission is cut out prior to engine stop.