A steering damper system for a saddle riding type vehicle having an MR damper includes a damping force calculating unit arranged to calculate a damping force according to a steering angle speed, and an adjusting command output unit arranged to determine a running state from a vehicle speed and a steering angle detected by sensors, with reference to a reference table, and correcting the damping force calculated according to the running state. The reference table has areas divided by a steering angle range according to vehicle speed, and damping force adjustment factors according to running states are assigned to these areas. The steering angle range dividing the areas becomes narrower with an increase in vehicle speed, to accurately reflect the running states of the vehicle. A proper damping force can be generated according to a running state of the vehicle. The steering damper system eases the rider's burden accompanying steering operations, and is excellent in controllability.