Abstract: Structure, especially shoe-sole structure for the flexible damping dynamic effects on a body, which structure has layers (9, 10) situated transversally with respect to the direction of the dynamic effect, connected to each other with flexible connecting element (11),said layers (9, 10) being situated at a distance from each other in an unloaded condition. This structure is characterized in that one end of the connecting elements (11) is caught in the cavity (19) created in at least one of the layers (10), and the internal space of the cavity (19) is larger than or the same as that of the connecting element (11) extending into it, and the connecting element (11) is made of a material with a greater ability of flexible deformation than that of the material of the layers (9, 10). The invention also concerns a damping member.