A rope reeving structure simply constructed, highly responsive, and capable of coping with high lifting height and high speed applications. Two sets of ropes (71, 72, and 75, 76), each set being composed of two ropes (71, 72, or 75, 76), pulled out of a drum (16) are mounted at longitudinally opposite ends of a lifting device (8) such that the ropes (71, 72, and 75, 76) form triangles (a-d) between the lifting device (8) and a trolley (6) and such that the oblique sides (x1 (x5), x2 (x6)) of triangles face directions separating from each other. Two sets of ropes (74, 78, and 73, 77), each set being composed of two ropes (74, 78, or 73, 77), pulled out of the drum (16) are mounted at lateral opposite ends of the lifting device (8) such that the ropes (74, 78, and 73, 77) form triangles (e-h) between the lifting device (8) and the trolley (6) and such that the oblique sides (x8 (x4), x7 (x3)) of triangles face each other. All the triangles (a-h) formed by the ropes (71-78) are in congruence.