In a steer-by-wire steering control device for a vehicle using a model following control based on yaw rate or lateral acceleration, the target steering angle(s) of front wheels and/or rear wheels (Sfbs, Srbs) are corrected according a roll rate (Rre) of the vehicle which may be either detected or estimated from a lateral acceleration or yaw rate. Thereby, the roll rate gain can be reduced, and the damping property and response property of the yaw rate can be improved.