A vibration damping control apparatus of a vehicle obtains first data from a road surface information in which position information, a road surface displacement related value, and speed information are rerated to one another. The first data represents a time series change of the road surface displacement related value on a predicted route of a wheel. The vibration damping control apparatus obtains speed information at a predicted passage position from the road surface information. In the case where the speed of the vehicle at the present point in time is higher than a speed represented by the speed information, the vibration damping control apparatus executes a first process (low-pass filter process) on the first data, obtains preview information from the first data having been subjected to the first process, and controls a control force generating apparatus on the basis of a target control force computed by using the preview information.