Gliding board with a damping device for the vertical movements of the front or rear zone of the board said system including an arm whose first end is integral with an attaching point located in the front or rear zone of the board and whose second end is integral with the piston of a hydraulic device connected to the board near the attachment, said hydraulic device applying a retaining force during the movement of the second end of the arm in order to dissipate part of the kinetic energy from the front or rear zone of the board transmitted by said arm, wherein when the movement of the arm is consecutive to the movement of the attaching point downwards, the hydraulic device applies a retaining force which is less than the force applied when the movement of the arm is consecutive to a movement of the attaching point upwards.