A torque distribution apparatus acquires an instructed torque input and a motor efficiency map for motors; detects vehicular speed and drive wheel rotational speed; calculates based on the detected speeds, a relational expression of drive wheel slip rate and a friction coefficient; creates based on the relational expression, a performance curve expression indicating relations between torque and the drive wheel rotational speed, superimposes the performance curve expression on the motor efficiency map, creates an efficiency variation expression indicating for each vehicular speed, the torque and efficiency values of the motor efficiency map, and calculates a torque that optimizes efficiency from the efficiency variation expression; calculates based on the instructed torque and the torque optimizing efficiency, a torque distribution value for each motor; and controls torque distribution to each motor, within a range of the slip rate being 0 to 0.2 and based on the torque distribution values.