A suspension spring and a double-rod damper are installed in the interior of a front fork which comprises a body-side tube and a wheel-side tube. The double-rod damper comprises a piston housed in a cylinder, and an upper rod and a lower rod connected to the piston. The upper rod is formed to have a smaller diameter than the lower rod. By providing an orifice which allows working oil in an upper oil chamber formed around the upper rod to flow into a reservoir while causing the pressure in the upper oil chamber to increase, expansion and contraction of air bubbles mixed into working oil in the cylinder is prevented, thereby improving the response of a damping force generated in the front fork.