One of a pair of the hydraulic shock absorbers each mounted in the right and left sides of a front wheel for a two-wheel vehicle includes a contraction-side damping valve (5a) disposed in a flow passage (11) communicating a rod-side oil chamber (R1) with a piston-side oil chamber (R2), the contraction-side damping valve (5a) permitting an operating oil to flow from the piston-side oil chamber (R2) to the rod-side oil chamber (R1) only when a volume in the piston-side oil chamber (R2) is reduced, and a contraction-side check valve (6) disposed in a flow passage (10) communicating the piston-side oil chamber (R2) with the reservoir (R), the contraction-side check valve (6) permitting the operating oil to flow from the reservoir (R) to the piston-side oil chamber (R2) only when a volume in the piston-side oil chamber (R2) is increased.