The invention belongs to the technical field of civil engineering, and particularly relates to a tension-pressure equal-strength type metal energy consumption re-centering damper and an installation and using method thereof. The tension-pressure equal-strength type metal energy consumption re-centering damper comprises a cylinder body, a guide rod, a first metal corrugated pipe, a belleville spring set, a pressure sensor and a second metal corrugated pipe, wherein the first metal corrugated pipe, the belleville spring set, the pressure sensor and the second metal corrugated pipe are connectedto the guide rod, the guide rod is connected with the cylinder body through a first connecting plate, a first limiting plate, a first connecting bolt and a third connecting bolt, a first lug plate anda second lug plate are arranged on the cylinder body and the guide rod respectively, and the first lug plate and the second lug plate are connected to the stress positions of a building structure. The tension-pressure equal-strength type metal energy consumption re-centering damper can be applied to the fields of shock absorption control of building and bridge structures, rapid recovery of the using function of the structure after an earthquake and the like, the metal corrugated pipes are used for energy consumption, the energy consumption capacity of the metal corrugated pipes is stable, theenergy consumption mechanism is clear, the out-of-plane instability problem does not exist during stress, and the tension-pressure equal-strength type metal energy consumption re-centering damper hasgood application prospects in the field of the civil engineering.