The invention discloses a cutting and trepanning method for a concrete chimney. The cutting and trepanning method comprises the steps of preparing a lifting appliance and a displacement frame, erecting a cross beam and a pulley block, installing a winch set, clamping and fixing cut concrete blocks, preparing for lifting and removing the cut concrete blocks and lifting and removing the cut concreteblocks. According to the cutting and trepanning method for the concrete chimney, through cooperation of the lifting appliance, the displacement frame, the cross beam, the pulley block and the winch set, a lifting and removing system for the cut concrete blocks is built on the concrete chimney, after concrete blocks are cut, through cooperation of the winch set, the pulley block and the displacement frame, the concrete blocks clamped and fixed by the lifting appliance are moved out of the wall of the concrete chimney and lifted away and removed, and cutting and trepanning of the concrete chimney are completed. According to the cutting and trepanning method for the concrete chimney, cutting and trepanning of the concrete chimney can be efficiently completed, the concrete blocks do not needto be accumulated on the chimney wall or a scaffold obtained after cutting and trepanning, the accumulated concrete blocks are prevented from collapsing and falling, sudden falling in the wall taking-out process is prevented, and injury accidents are avoided.