A vehicle driving force control apparatus controls a control torque command of an electric motor (4) based on a power supplying condition of an electric power source (7). The power source (7) supplies electric power to the electric motor (4) that drives at least one wheel (3L or 3R) of the vehicle. An electric power supplying status detecting section (8J) determines an electric power supplying capacity of the electric power source (7) based on the power supplying condition of the power source (7), while an electric motor torque control section (8C) controls the control torque command of the electric motor (4) based on the power supplying condition determined by the electric power supplying status detecting section (8J). Preferably, an internal combustion engine (2) that drives at least one other wheel (1L or 1R) also drives a generator (7) that acts as the power source of the electric motor (4). The vehicle driving force control apparatus is especially useful in a four-wheel drive vehicle. <IMAGE>