The invention belongs to the field of steel structure buildings, and particularly relates to an attached and sleeved type lifting tool and a construction method. The lifting tool comprises a lifting frame support, a lifting frame and a lifting frame cross beam. The lifting method includes the main steps of a lofting stage, a mechanical analysis stage, a drawing design stage, a component machiningstage, a tool installation stage, a lifting construction stage, the stage of dismantling the lifting tool and the stage of reinforcement and cyclic utilization of the lifting tool. With the lifting tool, the problems that when an independent lifting frame is arranged on the ground or a floor, construction risks are high and economy is poor because height is large are effectively solved; the problems in lifting construction under the condition that structural column pre-buried parts can not be constructed are effectively solved.