A roll vibration damping control system for a vehicle , the roll vibration damping control system comprising: a roll angular acceleration detector configured to detect a roll angular acceleration (φs 2 ) of a vehicle body ; an actuator (28FR, 28FL, 28RR, 28RL; 36, 38; 44FR, 44FL, 44RR, 44RL; 70, 72) configured to generate a roll moment (M xFy ) to be applied to the vehicle body; and an electronic control unit configured to store a roll moment of inertia (I x ), a roll damping coefficient (C x ), and an equivalent roll stiffness (K x ') of the vehicle, compute a sum of a product of the roll moment of inertia and the roll angular acceleration detected by the roll angular acceleration detector, a product of the roll damping coefficient and a first-order integral (φs) of the roll angular acceleration, and a product of the equivalent roll stiffness and a second-order integral (φ) of the roll angular acceleration, as a controlled roll moment (Mxc) to be applied to the vehicle body, compute a roll moment around a center of gravity of a sprung mass as a correction roll moment (Mxa), the roll moment being generated by lateral force on wheels due to roll motion, compute a target roll moment (Mxt) based on a value obtained by correcting the controlled roll moment with the correction roll moment, and control the actuator such that the roll moment that the actuator generates becomes the target roll moment. a roll angular acceleration detector configured to detect a roll angular acceleration (φs 2 ) of a vehicle body ; an actuator (28FR, 28FL, 28RR, 28RL; 36, 38; 44FR, 44FL, 44RR, 44RL; 70, 72) configured to generate a roll moment (M xFy ) to be applied to the vehicle body; and an electronic control unit configured to store a roll moment of inertia (I x ), a roll damping coefficient (C x ), and an equivalent roll stiffness (K x ') of the vehicle, compute a sum of a product of the roll moment of inertia and the roll angular acceleration detected by the roll angular acceleration detector, a product of the roll damping coefficient and a first-order integral (φs) of the roll angular acceleration, and a product of the equivalent roll stiffness and a second-order integral (φ) of the roll angular acceleration, as a controlled roll moment (Mxc) to be applied to the vehicle body, compute a roll moment around a center of gravity of a sprung mass as a correction roll moment (Mxa), the roll moment being generated by lateral force on wheels due to roll motion, compute a target roll moment (Mxt) based on a value obtained by correcting the controlled roll moment with the correction roll moment, and control the actuator such that the roll moment that the actuator generates becomes the target roll moment. store a roll moment of inertia (I x ), a roll damping coefficient (C x ), and an equivalent roll stiffness (K x ') of the vehicle, compute a sum of a product of the roll moment of inertia and the roll angular acceleration detected by the roll angular acceleration detector, a product of the roll damping coefficient and a first-order integral (φs) of the roll angular acceleration, and a product of the equivalent roll stiffness and a second-order integral (φ) of the roll angular acceleration, as a controlled roll moment (Mxc) to be applied to the vehicle body, compute a roll moment around a center of gravity of a sprung mass as a correction roll moment (Mxa), the roll moment being generated by lateral force on wheels due to roll motion, compute a target roll moment (Mxt) based on a value obtained by correcting the controlled roll moment with the correction roll moment, and control the actuator such that the roll moment that the actuator generates becomes the target roll moment. <EOS>