A steering assist apparatus for a vehicle includes an electric motor for steering assist. Rotation output of the electric motor is reduced in speed by a ball-screw mechanism and converted to rectilinear motion, which is transmitted to a rack bar. An electronic control unit determines a target current value in accordance with a steering torque detected by a steering torque sensor and a vehicle speed detected by a vehicle speed sensor. While using an actual current value of the electric motor detected by a current sensor as a feedback, the electronic control unit controls the current flowing through the electric motor to be equal to the target current value. The electronic control unit changes the feedback gain of the feedback control in accordance with a steering angle detected by a steering angle sensor, to thereby suppress abnormal noise generated at a steering mechanism, without deteriorating steering feel.