A sprung vibration suppression device for a vehicle includes a motor for generating torque to generate driving/braking force at the vehicle wheels and shock absorbers. The device calculates a target driving/braking force including a base requested driving/braking force requested for driving the vehicle and a damping driving/braking force necessary for sprung damping control and controls the driving/braking force output from the motor in accordance with the target driving/braking force. The device sets the damping driving/braking force to zero and increases the damping force generated by the shock absorbers when the base requested driving/braking force is within a rattling noise generation range set for determining whether there is a possibility that rattling noise is generated in the gear device.