A motor torque control apparatus for an automotive vehicle includes a transmission which has either one of a fixed speed ratio and a variable speed ratio; at least one motor/generator coupled with the transmission as a propelling power source of the vehicle, a power of the power source being transmitted to a road wheel for propulsion of the vehicle through the transmission; and a controller configured to be electrically connected to the motor/generator for motor torque control. Moreover, this controller includes a disturbance observer that estimates a driving force, and a motor torque control section that controls the driving force estimated by the disturbance observer, to bring the estimated driving force closer to a target driving force by way of servo control.