A seat for a two-wheeled vehicle comprising a relatively soft saddle support for a rider where the saddle support has a longitudinal direction axis and a cross direction axis as well as a supporting structure connecting the saddle support to a seat-carrying upright of the vehicle. A longitudinal oscillatable pin is provided between the upright and the supporting structure, where the oscillatable pin has a longitudinally extends substantially along a full extension of the longitudinal axis of the saddle support to allow the saddle support to oscillate about said longitudinal axis of said saddle support. A means is provided for preventing the oscillatable pin from oscillating and thereby preventing the oscillation of the saddle support.