The invention discloses a hoisting system of an object with an asymmetric structure. The hoisting system comprises a cantilever crane and a lifting tool suspended on the cantilever crane and used for being fixedly connected with the object with the asymmetric structure, wherein the lifting tool comprises a lifting bracket and a plurality of lifting lugs arranged below the lifting bracket; the lifting bracket comprises a base bracket with a symmetric structure and an additional bracket arranged on the base bracket; and the lifting lugs comprise base lifting lugs and restructured lifting lugs all fixed below the base bracket. The hoisting system of the object with the asymmetric structure is wide in application range and easy to implement, and the processing cost of the lifting tool is relatively low.