The invention discloses a hoisting construction method of a curved truss. The method comprises following steps: step 1, installing temporary support columns; step 2, installing spare hoisters and temporary hoisting balls; step 3, performing first hoisting operation; utilizing the temporary support columns, the spare hoisters and the temporary hoisting balls to firstly hoist a truss in the outer periphery to the hoisting height which is the height for changing, hoisting and splicing; step 4, aligning and splicing trusses in order to form an overall hoisting truss; step 5, installing formal hoisters and changing and hoisting balls; step 6, utilizing the formal hoisters and the changing and hoisting balls to secondarily hoist the truss; step 7, dismantling the temporary support columns, the temporary hoisters and the temporary hoisting balls; step 8, performing third hoisting operation and the hoisting the overall hoisting truss to the elevation level. The hoisting construction method of the curved truss is utilized to hoist the truss to the overall splicing height and does not need to set up a splicing platform of a support system for the overall hoisting truss so that constriction efficiency is improved and the working period of site constriction of a steel structure is effectively shortened.