The purpose of the present invention is to provide a parking assist device for a vehicle such that the vehicle can be parked without decreasing or excessively increasing the speed or causing the vehicle to stop during assisted parking, the speed of the host vehicle is kept constant even immediately after an obstacle or a bump is cleared, and the vehicle is prevented from colliding with any other parked vehicle. The device calculates a speed command value and/or an engine torque command value in consideration of the acceleration/deceleration of the vehicle and controls the speed of the vehicle on the basis of the calculated speed command value and/or the engine torque command value, said acceleration/deceleration being predicted in advance on the basis of the height and distance of an obstacle and/or a bump that is present in a parking path, the gradient of the road surface, and the steering angle.