A braking force control unit, which allows transmission of driving force from a motor to driving wheels irrespective of releasing an accelerator pedal under or equal to a certain vehicle speed when a transmission is selected to a driving range, and switches said driving force to be transmitted to the driving wheels between a strong condition and a weak condition in accordance with depression of a brake pedal such that when the brake pedal is depressed, said driving force is controlled to be less than the driving force upon releasing the brake pedal, wherein the braking force control unit comprises means for retaining braking force so as to continuously retain the braking force after releasing the brake pedal, and said means releases the braking force after releasing the brake pedal and in the process of increasing the driving force to the strong condition.