An object of the vehicle body vibration-damping control device according to the present invention is to achieve a targeted effect for damping the vehicle body vibration regardless of the responsiveness of an actuator for controlling the drive torque. The vehicle body vibration-damping control device has a body vibration estimating unit (205) for estimating a sprung mass behavior of a vehicle body based on input information during travel, and a torque command-value computing unit (206) for computing a correction torque value for correcting a drive torque command value applied to an engine (106) when the sprung mass behavior is controlled. The torque command-value computing unit (206) has regulator and tuning units (308, 309, 310) for calculating the correction torque value based on the result of estimating the sprung mass behavior, and a nonlinear gain amplifying unit (313) for amplifying the absolute value of the correction torque when in a region where the positive or negative attribute of the calculated correction torque value is reversed, and using the amplified value to correct the drive torque command value.