A vehicle body vibration damping control device for suppressing vehicle body vibrations including pitching and bouncing vibrations of a vehicle body which is a sprung mass of the vehicle on which road wheels are suspended via a suspension unit through a corrective control of a road wheel braking-or-driving force, comprising a vehicle body vibration estimation section (53, S400) configured to estimate the pitching vibration and the bouncing vibration; the vehicle body vibration damping control device characterized by : a priority level setting section (55, S600) configured to set priority levels of the pitching vibration and the bouncing vibration to take a higher priority for a suppression of the pitching vibration than the suppression of the bouncing vibration between the pitching vibration and the bouncing vibration; and a damping purpose braking-or-driving force correction quantity calculation section (54, S700) configured to determine a damping purpose braking-or-driving force correction quantity to suppress the vehicle body vibrations on a basis of the pitching vibration and the bouncing vibration, while satisfying the priority levels set by the priority level setting section, to contribute onto the corrective control of the road wheel braking-or-driving force, and characterized in that the vehicle body vibration estimation section (53, S400) estimates the pitching vibration and the bouncing vibration on a basis of the road wheel braking-or-driving force and estimates the pitching vibration and the bouncing vibration on a basis of road wheel speeds of the road wheels, and the priority level setting section (55, S600) sets the priority level of the suppression of the pitching vibration estimated on a basis of the road wheel speeds of the vehicle to be further higher than that of the pitching vibration estimated on a basis of the road wheel braking-or-driving force. a priority level setting section (55, S600) configured to set priority levels of the pitching vibration and the bouncing vibration to take a higher priority for a suppression of the pitching vibration than the suppression of the bouncing vibration between the pitching vibration and the bouncing vibration; and a damping purpose braking-or-driving force correction quantity calculation section (54, S700) configured to determine a damping purpose braking-or-driving force correction quantity to suppress the vehicle body vibrations on a basis of the pitching vibration and the bouncing vibration, while satisfying the priority levels set by the priority level setting section, to contribute onto the corrective control of the road wheel braking-or-driving force, and characterized in that the vehicle body vibration estimation section (53, S400) estimates the pitching vibration and the bouncing vibration on a basis of the road wheel braking-or-driving force and estimates the pitching vibration and the bouncing vibration on a basis of road wheel speeds of the road wheels, and the priority level setting section (55, S600) sets the priority level of the suppression of the pitching vibration estimated on a basis of the road wheel speeds of the vehicle to be further higher than that of the pitching vibration estimated on a basis of the road wheel braking-or-driving force. <EOS>