A damping top which comprises first and second L1 connection members (10, 20) connected to each other so as to connect two relatively displacing points (objects) (L1, L2) to each other, which connection members are fixed at one end thereof to the two points (L1, L2), respectively. The first connection member (10) is formed at its connection side with a guide screw portion (10a), on which is rotatably and slidably mounted a rotating top (integral rotating unit) (16) adapted to be driven by a guide nut (14) threaded onto the screw portion through a ball bearing (12). The second connection member (20) is formed at its connection side in a casing (24) for a chamber (22), which receives therein the rotating top (16), and a damping viscous body (26) is filled in the chamber (22). Thus it is possible to provide a damping device which is simple and small-sized, and provides great damping effects.