illustrates the twist stop portion 16 which is at least approximately oval in construction a second connecting portion 14 at the upper end of which for example a saddle or handle bar connects extends through the twist stop portion 16 the second connecting portion 14 includes guide tracks 30 in the form of guide grooves or guide flutes which are engaged by the balls 28 in direction from the body of the twist stop portion 16 the balls 28 are supported in the twist stop portion 16 within circulatory bearings 26 upon an axial shock the second connecting portion 14 can be guided through the twist stop portion 16 or its passage 15 and can move therethrough secured against rotation by the balls 28 the axial longitudinal section of the damping device 10 according to fig1 b shows the location of the circulatory ball bearing 24 within the twist stop portion 16 the balls 28 are freely rotatable within the circulatory bearing space 26 and supported in a freely moveable manner upon each shock acting on the lower first connecting portion 12 or on the upper second connecting portion 14 the balls 28 can on the one hand axially move and on the other hand freely rotate about their own center point in this very advantageous embodiment also in accordance with the invention only very small friction losses occur and even very fast and short impacts can be cushioned unimpaired by the support or twist stop 16 this is also possible for a very long time which was for example not the case for conventional.