In a vehicle which is provided with a power steering device having an oil passage or an oil chamber whose pressure increases to a high level as a steering angle becomes large; and a damper device consisting of a cylinder filled therein with a working oil and a piston fitted slidably in the cylinder to divide the interior thereof into upper and lower oil chambers, the damper device being adapted to damp the relative movements of a chassis and a wheel support member, the damper device is characterized in that it is provided with a variable throttle mechanism interposed between the upper and lower oil chambers and operable to increase its degree of restriction in proportion to the rise of pressure in the oil passage or oil chamber of the power steering device. This simply constructed device is obtained at a low cost and enables the damping force to vary continuously without use of sensors and processor.