The device for absorbing shocks and vibrations particularly for a bicycle comprises at least one shock-absorber element (2) with first means (3) for connection to the frame (4) of said bicycle and second means (5) for connecting to the saddle (6) thereof. The shock-absorber element (2) comprises at least one first and one second rod-shaped element (7, 8) with the first ends facing towards the frame (4) rigidly fixed to the first connection means (3) for locking them inside the saddle post (9) of the frame and the second ends facing the saddle rotatably hinged with the second connection means. The procedure for absorbing shocks or vibrations particularly for a bicycle consists of rotate-translating the saddle of the bicycle during the shock and/or vibration acting on its frame keeping the saddle parallel but set bank with respect to it rest position so as to keep its distance from the pedals of the bicycle substantially unchanged.