A torque response control apparatus configured for an electric motor of a vehicle which is movable by driving road wheels (1L, 1R) of the vehicle using a torque from the electric motor, comprising a controller that is configured in a situation in which a difference is found between a required acceleration that varies in accordance with changes of a vehicle speed and an accelerator depressing degree and an actual acceleration that is obtained when the vehicle speed and the accelerator depressing degree change, the difference being caused by a torque characteristic of the electric motor in which the maximum torque varies in accordance with a rotation speed of the electric motor; wherein said controller is configured to: - derive a torque response determining coefficient (k) and a target acceleration steady-state value (Tv) from the vehicle speed and the accelerator depressing degree; - determine a target acceleration transient value (tTv) by the torque response determining coefficient (k) and the target acceleration steady-state value (Tv); - set the target acceleration transient value (tTv) as a target motor torque, and control an inverter in such a manner that the electric motor is fed with a current to realize the target motor torque; and - control a torque response of the electric motor by selecting the torque response determining coefficient (k) in accordance with the vehicle speed and the accelerator depressing degree; and wherein: - controlling the torque response of the electric motor is carried out in accordance with the vehicle speed and the accelerator depressing degree, - when the vehicle speed is high and the acceleration depressing degree is large, the torque response determining coefficient (k) is made large to increase the torque response of the electric motor, - when the vehicle speed is low and the acceleration depressing degree is small, the torque response determining coefficient (k) is made small to lower the torque response of the electric motor, and - the target acceleration transient value (tTv) is determined by applying a primary delay treatment to the target acceleration steady-state value (Tv) by means of the primary delay filter time constant corresponding to the torque response determining coefficient (k). - derive a torque response determining coefficient (k) and a target acceleration steady-state value (Tv) from the vehicle speed and the accelerator depressing degree; - determine a target acceleration transient value (tTv) by the torque response determining coefficient (k) and the target acceleration steady-state value (Tv); - set the target acceleration transient value (tTv) as a target motor torque, and control an inverter in such a manner that the electric motor is fed with a current to realize the target motor torque; and - control a torque response of the electric motor by selecting the torque response determining coefficient (k) in accordance with the vehicle speed and the accelerator depressing degree; and - controlling the torque response of the electric motor is carried out in accordance with the vehicle speed and the accelerator depressing degree, - when the vehicle speed is high and the acceleration depressing degree is large, the torque response determining coefficient (k) is made large to increase the torque response of the electric motor, - when the vehicle speed is low and the acceleration depressing degree is small, the torque response determining coefficient (k) is made small to lower the torque response of the electric motor, and - the target acceleration transient value (tTv) is determined by applying a primary delay treatment to the target acceleration steady-state value (Tv) by means of the primary delay filter time constant corresponding to the torque response determining coefficient (k).