In driving force control apparatus and method for an automotive vehicle, an internal combustion engine drives mainly driven wheels of the vehicle, a generator is driven by the internal combustion engine, a motor is driven by a power of the generator, the motor is capable of driving other wheels than the mainly driven wheels, a condenser electrically connected to the generator in parallel with the motor, and a condenser controlling section (8G) connects the condenser to the motor in a case where a vehicle speed (Vv) is equal to or lower than a predetermined vehicle speed and disconnects the condenser from the motor and the generator in a case where the vehicle speed is in excess of the predetermined vehicle speed.