The invention relates to a damping device with a height limited space, and belongs to the field of damping mechanism deign which belongs to the mechanical design. The damping device consists of damping rubber rings (1), a pressure plate (2) and a supporting plate (3). The damping device is characterized in that the damping rubber rings (1) are main mechanisms for balancing out vibration, are in the shape of an inverted H, and are provided with fixing holes in the middle; the pressure plate (2) and the supporting plate (3) are the same in shape, and fixing holes are also formed in the middle of the pressure plate (2) and the middle of the supporting plate (3); the positions and the dimensions of the fixing holes of the pressure plate (2) and the supporting plate (3) are in one-to-one correspondence to the positions and the dimensions of the fixing holes of the damping rubber rings; in use, the pressure plate (2) and the supporting plate (3) are separately arranged at the upper side and the lower side of the damping rubber rings; and any one side of an inverted H-shaped head of each damping rubber ring needs to pass through the fixing hole of the mounting plate in a penetrating mode, so that the mounting plate is blocked to the finest part of each damping rubber ring. The damping device is simple in structure; the damping rubber rings are blocked at the two sides of the mounting plate, so that space usage is small; and while the damping effect is ensured, a height space at one side of equipment must to be increased due to the fact that the damping device is additionally arranged is reduced.