Abstract: The rear shock-absorber unit which suspends the rear wheel of motorcycles is provided with a device for adjusting the damping force produced by the hydraulic damper. The said adjusting device incorporates a passage which is provided in the piston rod so as to permit the fluid to flow throughout the upper and lower working chambers of the damper cylinder which are separated by the piston, and an adjusting member which is engaged, rotating freely, with the piston rod and covers one of the ports of the passage. The said adjusting member has a group of orifices, different in diameter, which connect successively to the said passage in the piston rod, and click stops which, at their respective positions, constrain the relative rotary motion between the adjusting member and piston rod. When the hydraulic damper reaches the extreme of expansion, it is pressed against a seal holder or stop rubber attached to the upper end of the damper cylinder to prevent the rotary motion.