A torque distribution apparatus includes an instructed torque acquiring unit that acquires input instructed torque, a determining unit that determines whether to perform power running control or regenerative braking, an efficiency map acquiring unit that based on a determination result, acquires a motor efficiency map, a vehicular speed detecting unit, a drive wheel rotational speed detecting, a slip rate calculating unit that calculates slip rate at drive wheels, a calculating unit that based on the slip rate, creates an efficiency variation expression that indicates efficiency values on a performance curve that indicates relations between drive wheel rotational speed and torque, a distributing unit that calculates based on the slip rate, the instructed torque, and the torque optimizing efficiency, torque distribution values such that overall efficiency during power running and during regeneration are maximized, and a control unit that controls torque distribution to the motors.