The invention discloses a lifting appliance, which comprises a first lifting appliance mechanism, a second lifting appliance mechanism and a first lifting lug. A lifting appliance base plate is arranged on the upper part of the first lifting appliance mechanism; a bearing anchorage device connected with a lifting system is arranged under the lifting appliance base plate; a first lug plate is arranged on the lower end of the first lifting appliance mechanism; a second lifting lug is arranged on the upper end of the second lifting appliance mechanism, and is rotatably connected with the first lug plate; a second lug plate is arranged on the lower end of the second lifting appliance mechanism, is mutually vertical to the second lifting lug in a vertical direction, and is rotatably connected with the first lifting lug. By utilizing the lifting appliance provided by the invention, the omni-directionally overturning of an abnormal-shaped twisted tower segment including wholly lifting to scale height, enabling the tower segment to rotate to a vertical direction, adjusting the tower segment to a designed alignment posture, and then enabling the tower section to overturn around an axial direction of an abnormal-shaped twisted tower can be realized. A method adopting the lifting appliance provided by the invention is good in economical efficiency, quick in construction speed, and wide in application prospect.