A cylinder-piston unit with load-dependent damping includes a piston longitudinally displaceable in a cylinder. The piston has a first piston channel and a second piston channel, which each connect a compensation space on one side of the piston to a displacement space side on an opposite side of the piston. On the displacement space side a throttle channel connects one first piston channel to the piston lateral surface. On its displacement space side the piston has a piston journal, which carries a resiliently deformable piston disc. The piston disc is displaceable and covers the throttle channel at least partially. The displacement space side has at least one relief portion deviating from a piston end face plane. The relief portion is delimited on a number of sides by a plurality of boundary lines running concentrically with respect to the central axis. Each of these boundary lines can be differentiated continuously.