A non-limit multi-function viscoelastic support structure group, relating to a field of aerospace structural design, includes a basic structure, a supported structure and multiple viscoelastic support structure units. The multiple viscoelastic support structure units form a circular discontinuous group and are arranged between the basic structure and the supported structure. The viscoelastic support structure units are connected with the basic structure and the supported structure respectively in ways of pre-pressing and surface contact, and no fixed constrained relationship exists. The present invention absorbs a vibration energy through a viscoelastic effect of own structural material and forms a spring-oscillator vibration attenuation system with the supported structure. With a geometric topology boundary change of the structure group, the supported structure is allowed to have a relative motion, thereby consuming the external vibration energy through converting into a kinetic energy of an oscillator, which effectively improves a mechanical environment of the supported structure.