The invention belongs to the field of dampers and discloses a tuning mass damper comprising a base plate, an oil cylinder, a connecting plate and a mass block. The oil cylinder comprises a cylinder tube, a piston rod and a piston. The lower end of the cylinder tube is fixedly mounted on the base plate. The lower end of the piston rod penetrates through an upper end cover to be fixedly connected with the piston. The piston comprises a plurality of piston pieces arranged from top to bottom. The piston pieces include the first piston pieces and the second piston pieces which are arranged alternately. A bearing seat is fixedly connected to the inner wall of the cylinder tube in a sleeving mode. A linear bearing is fixedly mounted on the bearing seat. The connecting plate is fixedly mounted at the upper end of the piston rod. The mass block is fixedly connected with the connecting plate. A compression spring is arranged between the mass block and the base plate to transfer vibration. According to the tuning mass damper, the requirement for machining precision can be reduced under the condition of meeting the working requirement, and accordingly low cost is achieved.