A hydraulic damper (2) includes a first piston body member (233), a second piston body member (234), a third piston body member (235), and a compression stroke disc assembly (231) compressed at a radially inner side thereof between the first (233) and said second (234) piston body members. The hydraulic damper includes a rebound stroke disc assembly (232) compressed at the radially inner side thereof between the second (234) and third (235) piston body members, and the compression stroke disc assembly (231) additionally includes an annular supporting member (2319) positioning discs (2311-2318) of the compression stroke disc assembly (231) at radially inner side thereof, while a radially inner axial passage (23191) is defined at the radially inner side of the supporting member (2319).