Abstract: A method of transferring a crane from a tower to an adjacent elevated site, such as a building under construction. The crane is raised from the tower by an elevating frame secured at one end to the tower. A transition section is inserted between the crane and the top of the tower. A bogie with an open end on the site straddles the elevating frame and receives cross beams on each end. The crane and transition section are raised, and the bogie is centered with respect to the tower. The cross beams are positioned under the ends of the transition section to which they are then bolted. The elevating frame is lowered to transfer the full weight of the crane to the transition section, and to the bogie, which can then be moved horizontally on the site away from the tower.