A front-and-rear-wheel-drive vehicle which drives front and rear wheels (11, 12), comprising: a first electric drive motor provided in a front portion of the vehicle, which drives the front wheels; a second electric drive motor which drives rear wheels; a first speed reducer which reduces rotation of the first electric drive motor and transmits the reduced rotation to the front wheels; and a second speed reducer which reduces rotation of the second electric drive motor and transmits the reduced rotation to the rear wheels; and an engine disposed in the front portion of the vehicle and coupled with the front wheels via a friction engagement element, the friction engagement element transmitting and shutting off a power transmitted from the engine to the front wheels, characterized in that the second electric drive motor is provided in a rear portion of the vehicle and has a maximum torque greater than a maximum torque of the first electric drive motor and a maximum rate of rotation less than a maximum rate of rotation of the first electric drive motor, the second speed reducer reduces rotation of the second electric drive motor at a speed reduction ratio smaller than a speed reduction ratio of the first speed reducer, and the speed reduction ratios of the first and second speed reducers (43, 53) are set in a manner that a maximum rate of rotation of the rear wheels corresponding to a maximum rate of rotation of the second electric drive motor is greater than a maximum rate of rotation of the front wheels corresponding to a maximum rate of rotation of the first electric drive motor, the speed reduction ratio of the first speed reducers is set in a manner that a maximum value of torque which acts on a front-wheel axle is a maximum torque value T3 N·m which is set as is required for the vehicle; the speed reduction ratio of the second speed reducer is set in a manner that a maximum value of torque which acts on a rear-wheel axle is a maximum torque value T3 N·m which is set as is required for the vehicle, and characterized by comprising: a friction engagement element controller which controls the friction engagement element, wherein the friction-engagement element controller engages the friction engagement element, when a speed of the vehicle exceeds a speed (Vo) from which the torque of the first electric drive motor abruptly drops, said speed (Vo) being immediately before a vehicle speed (Vf) corresponding to the maximum rate of rotation of the first electric drive motor, and thereby transmits a drive force of the engine to the front wheels. a first electric drive motor provided in a front portion of the vehicle, which drives the front wheels; a second electric drive motor which drives rear wheels; a first speed reducer which reduces rotation of the first electric drive motor and transmits the reduced rotation to the front wheels; and a second speed reducer which reduces rotation of the second electric drive motor and transmits the reduced rotation to the rear wheels; and an engine disposed in the front portion of the vehicle and coupled with the front wheels via a friction engagement element, the friction engagement element transmitting and shutting off a power transmitted from the engine to the front wheels, characterized in that the second electric drive motor is provided in a rear portion of the vehicle and has a maximum torque greater than a maximum torque of the first electric drive motor and a maximum rate of rotation less than a maximum rate of rotation of the first electric drive motor, the second speed reducer reduces rotation of the second electric drive motor at a speed reduction ratio smaller than a speed reduction ratio of the first speed reducer, and the speed reduction ratios of the first and second speed reducers (43, 53) are set in a manner that a maximum rate of rotation of the rear wheels corresponding to a maximum rate of rotation of the second electric drive motor is greater than a maximum rate of rotation of the front wheels corresponding to a maximum rate of rotation of the first electric drive motor, the speed reduction ratio of the first speed reducers is set in a manner that a maximum value of torque which acts on a front-wheel axle is a maximum torque value T3 N·m which is set as is required for the vehicle; the speed reduction ratio of the second speed reducer is set in a manner that a maximum value of torque which acts on a rear-wheel axle is a maximum torque value T3 N·m which is set as is required for the vehicle, and characterized by comprising: a friction engagement element controller which controls the friction engagement element, wherein the friction-engagement element controller engages the friction engagement element, when a speed of the vehicle exceeds a speed (Vo) from which the torque of the first electric drive motor abruptly drops, said speed (Vo) being immediately before a vehicle speed (Vf) corresponding to the maximum rate of rotation of the first electric drive motor, and thereby transmits a drive force of the engine to the front wheels. a friction engagement element controller which controls the friction engagement element, wherein the friction-engagement element controller engages the friction engagement element, when a speed of the vehicle exceeds a speed (Vo) from which the torque of the first electric drive motor abruptly drops, said speed (Vo) being immediately before a vehicle speed (Vf) corresponding to the maximum rate of rotation of the first electric drive motor, and thereby transmits a drive force of the engine to the front wheels.