A travel driving apparatus of a vehicle, comprising: a first electrical motor for driving either one of front and rear wheels of the vehicle; a generator for generating power by being driven by an internal combustion engine mounted on the vehicle; a transformer for transforming power from a battery mounted on the vehicle and supplying the power to the first electrical motor, while transforming generated power of the generator and supplying the power to the battery, wherein maximum output power is limited based on a temperature condition; a second electrical motor which is supplied with power of the battery not via the transformer while being supplied with power of the generator via the transformer, and drives the other one of the front and rear wheels; and power distribution means for distributing power supplied from the battery and power generated at the generator to the first electrical motor and the second electrical motor, the travel driving apparatus of a vehicle being characterized in that it further comprises: required driving force calculation means for calculating required driving force of a vehicle; and distributed driving force setting means for setting distributed driving force for distributing the required driving force to the first electrical motor and the second electrical motor, wherein the power distribution means decreases the power supplied from the generator to the second electrical motor and increases the power supplied from the battery to the second electrical motor when the transformer is limited, and the distributed driving force setting means causes the distributed driving force to be maintained by decreasing the power supplied from the generator to the second electrical motor and increasing the power supplied from the battery to the second electrical motor, with the power distribution means, when the transformer is limited. a first electrical motor for driving either one of front and rear wheels of the vehicle; a generator for generating power by being driven by an internal combustion engine mounted on the vehicle; a transformer for transforming power from a battery mounted on the vehicle and supplying the power to the first electrical motor, while transforming generated power of the generator and supplying the power to the battery, wherein maximum output power is limited based on a temperature condition; a second electrical motor which is supplied with power of the battery not via the transformer while being supplied with power of the generator via the transformer, and drives the other one of the front and rear wheels; and power distribution means for distributing power supplied from the battery and power generated at the generator to the first electrical motor and the second electrical motor, the travel driving apparatus of a vehicle being characterized in that it further comprises: required driving force calculation means for calculating required driving force of a vehicle; and distributed driving force setting means for setting distributed driving force for distributing the required driving force to the first electrical motor and the second electrical motor, wherein the power distribution means decreases the power supplied from the generator to the second electrical motor and increases the power supplied from the battery to the second electrical motor when the transformer is limited, and the distributed driving force setting means causes the distributed driving force to be maintained by decreasing the power supplied from the generator to the second electrical motor and increasing the power supplied from the battery to the second electrical motor, with the power distribution means, when the transformer is limited. required driving force calculation means for calculating required driving force of a vehicle; and distributed driving force setting means for setting distributed driving force for distributing the required driving force to the first electrical motor and the second electrical motor, wherein the power distribution means decreases the power supplied from the generator to the second electrical motor and increases the power supplied from the battery to the second electrical motor when the transformer is limited, and the distributed driving force setting means causes the distributed driving force to be maintained by decreasing the power supplied from the generator to the second electrical motor and increasing the power supplied from the battery to the second electrical motor, with the power distribution means, when the transformer is limited.