Disclosed is a self-centering viscous damper with pre-pressed ring springs. The self-centering viscous damper with pre-pressed ring springs comprises a first inner cylinder, a second inner cylinder, a third inner cylinder, an outer cylinder, a first end cover, a second end cover, a piston, a piston rod, a ring spring, a first connector, a second connector, a first linking nut, a second linking nut, a first outer cover, a second outer cover, a first end and a second end. Due to the interaction between the inner and outer cylinders, the ring springs are further pressed whether a damper is tensioned or pressed. The ring springs have been applied with pre-pressure which overcomes a frictional force and a restoring force when the ring springs are in an initial equilibrium position.