A vehicle driving apparatus used at a vehicle including an internal combustion engine and a motor as prime movers and can change a speed of a mechanical power output from an engine output shaft of the internal combustion engine and a rotor of the motor by a speed change mechanism and transmit the mechanical power to drive wheels, the apparatus comprising: a first speed change mechanism capable of receiving the mechanical power from the engine output shaft by a first input shaft, changing the speed of the mechanical power by any one of a plurality of speed change stages, and transmitting the mechanical power to the drive wheels; a second speed change mechanism capable of receiving the mechanical power from the engine output shaft and the rotor by a second input shaft engaged with the rotor, changing the speed of the mechanical power by any one of the plurality of speed change stages, and transmitting the mechanical power to the drive wheels; a first clutch capable of engaging the engine output shaft with the first input shaft; and a second clutch capable of engaging the engine output shaft with the second input shaft, characterized in that the first clutch is a normally open clutch and is placed in a disengaged state when operation force for executing the engaging/disengaging operation is not applied to the first clutch, the second clutch is a normally closed clutch and is placed in an engaged state when operation force for executing an engaging/disengaging operation is not applied to the second clutch, and the first clutch and the second clutch are operated in one of a first state where the first clutch is placed in the engaged state as well as the second clutch is placed in the disengaged state, a second state where the first clutch is placed in the disengaged state as well as the second clutch is placed in the engaged state, and a third state where the first clutch and the second clutch are placed in the engaged state together. a first speed change mechanism capable of receiving the mechanical power from the engine output shaft by a first input shaft, changing the speed of the mechanical power by any one of a plurality of speed change stages, and transmitting the mechanical power to the drive wheels; a second speed change mechanism capable of receiving the mechanical power from the engine output shaft and the rotor by a second input shaft engaged with the rotor, changing the speed of the mechanical power by any one of the plurality of speed change stages, and transmitting the mechanical power to the drive wheels; a first clutch capable of engaging the engine output shaft with the first input shaft; and a second clutch capable of engaging the engine output shaft with the second input shaft, characterized in that the first clutch is a normally open clutch and is placed in a disengaged state when operation force for executing the engaging/disengaging operation is not applied to the first clutch, the second clutch is a normally closed clutch and is placed in an engaged state when operation force for executing an engaging/disengaging operation is not applied to the second clutch, and the first clutch and the second clutch are operated in one of a first state where the first clutch is placed in the engaged state as well as the second clutch is placed in the disengaged state, a second state where the first clutch is placed in the disengaged state as well as the second clutch is placed in the engaged state, and a third state where the first clutch and the second clutch are placed in the engaged state together.