A multi-directional damping device includes a supporting element, an annular frame extending around the supporting element, and at least one elastic element extending between the supporting element and the annular frame. The elastic element includes an end connected to the supporting element, another end connected to the annular frame, and several segments formed between the ends and adapted for absorbing vibration at different frequencies. The elastic element bears the weight of the supporting element and that of the annular frame and retains in position between the supporting element and the annular frame. The segments of the elastic element vibrate at the frequencies when the supporting element or the annular frame vibrates.