The magnitude of a linear damping coefficient Cs is set so as to decrease the greater a maximum amplitude value α of an intermediate frequency sprung acceleration is. In the case where a damping force control apparatus carries out control for dampening vibrations of a sprung member using a nonlinear H-infinity control theory, the linear damping coefficient Cs is set to a high value when the maximum amplitude value α of the intermediate frequency sprung acceleration inputted to a suspension apparatus is low. Accordingly, a requested damping force Freq also increases, which makes it possible to quickly dampen vibrations in the sprung member. Meanwhile, in the case where the maximum amplitude value α of the intermediate frequency sprung acceleration is high, the linear damping coefficient Cs is set to a low value. Accordingly, the requested damping force Freq also decreases, which makes it possible to suppress degradation in the riding quality when intermediate frequency vibrations are inputted, and particularly makes it possible to suppress riding quality degradation when the vibration speed is high.