A multi-level shock-absorbing and graded-yielding metal damper, comprising at least two annular dampers (1, 2) that are coaxially arranged from inside to outside, the two adjacent annular dampers (1, 2) having an interval therebetween and being connected by means of a connection pad (3), and the two annular dampers (1, 2) being used for connecting to a building structure. When the dampers bend and deform, the annular damper (2) located in the relatively inner ring yields prior to the annular damper (1) located in the relatively outer ring. Said damper can produce good shock absorbing and energy dissipation effect respectively in small, moderate and violent earthquakes.