A suspension system for a vehicle, comprising: (a) a shock absorber disposed between a sprung portion and an unsprung portion and having a damping-force changing mechanism for changing a magnitude of a damping force, the shock absorber being configured to generate the damping force with respect to a relative movement of the sprung portion and the unsprung portion such that the magnitude of the damping force is changeable; and (b) a controller configured to control the damping-force changing mechanism so as to control the damping force to be generated by the shock absorber, wherein the controller includes: a target sprung-speed determining portion configured to determine, as a target sprung speed which is a target of a speed of the sprung portion, a speed of the sprung portion in a behavior of a body of the vehicle according to an operation input to the vehicle by a driver, for permitting the behavior to be according to the operation input, the controller being configured to control the damping force such that the speed of the sprung portion becomes equal to the target sprung speed; an actual sprung-speed obtaining portion configured to obtain an actual sprung speed that is an actual speed of the sprung portion; a basic damping-force determining portion configured to determine a basic damping force which has a magnitude in accordance with a predetermined control rule and which is a basis when determining a target of the damping force to be generated by the shock absorber; and a target damping-force determining portion configured to determine a target damping force as the target of the damping force to be generated by the shock absorber by correcting the basic damping force based on sprung speed deviation that is a deviation of the actual sprung speed from the target sprung speed, and being characterized by being configured to (i) decrease the damping force to be generated by the shock absorber with respect to the basic damping force when the sprung speed deviation is positive and the sprung portion and the unsprung portion are relatively moved in a direction away from each other or when the sprung speed deviation is negative and the sprung portion and the unsprung portion are relatively moved in a direction toward each other, and (ii) increase the damping force to be generated by the shock absorber with respect to the basic damping force when the sprung speed deviation is negative and the sprung portion and the unsprung portion are relatively moved in the direction away from each other or when the sprung speed deviation is positive and the sprung portion and the unsprung portion are relatively moved in the direction toward each other. a target sprung-speed determining portion configured to determine, as a target sprung speed which is a target of a speed of the sprung portion, a speed of the sprung portion in a behavior of a body of the vehicle according to an operation input to the vehicle by a driver, for permitting the behavior to be according to the operation input, the controller being configured to control the damping force such that the speed of the sprung portion becomes equal to the target sprung speed; an actual sprung-speed obtaining portion configured to obtain an actual sprung speed that is an actual speed of the sprung portion; a basic damping-force determining portion configured to determine a basic damping force which has a magnitude in accordance with a predetermined control rule and which is a basis when determining a target of the damping force to be generated by the shock absorber; and a target damping-force determining portion configured to determine a target damping force as the target of the damping force to be generated by the shock absorber by correcting the basic damping force based on sprung speed deviation that is a deviation of the actual sprung speed from the target sprung speed, and being characterized by being configured to (i) decrease the damping force to be generated by the shock absorber with respect to the basic damping force when the sprung speed deviation is positive and the sprung portion and the unsprung portion are relatively moved in a direction away from each other or when the sprung speed deviation is negative and the sprung portion and the unsprung portion are relatively moved in a direction toward each other, and (ii) increase the damping force to be generated by the shock absorber with respect to the basic damping force when the sprung speed deviation is negative and the sprung portion and the unsprung portion are relatively moved in the direction away from each other or when the sprung speed deviation is positive and the sprung portion and the unsprung portion are relatively moved in the direction toward each other. (i) decrease the damping force to be generated by the shock absorber with respect to the basic damping force when the sprung speed deviation is positive and the sprung portion and the unsprung portion are relatively moved in a direction away from each other or when the sprung speed deviation is negative and the sprung portion and the unsprung portion are relatively moved in a direction toward each other, and (ii) increase the damping force to be generated by the shock absorber with respect to the basic damping force when the sprung speed deviation is negative and the sprung portion and the unsprung portion are relatively moved in the direction away from each other or when the sprung speed deviation is positive and the sprung portion and the unsprung portion are relatively moved in the direction toward each other.