The vibration control of a flexible rotor supported on cavitated short squeeze film dampers is investigated. According to Pan's theory, the shape of cavitation in fluid film bearings depends on the level of oil supply pressure, as a result, both the direct and the cross coupled damping coefficients of a cavitated short squeeze film damper are varied widely. In this paper, controling the level of oil supply pressure by fuzzy theory, a significant reduction in journal eccentricity ratio, rotor amplitude and force transmissiblilty of a flexible rotor system is achieved.