To solve the problem of elevator rope sway in a high-rise building, the seismic damage risk of a building and suspension rope are examined using the Complex Complete Quadratic Combination method. A building site was assumed at Sinjuku, Tokyo in Japan and possible earthquake source zones were considered in Chuetsu, Niigata and the northwest of Chiba. The following findings were obtained: For the 100-, 150- and 250-meter-high buildings, the damage risk of the rope was high when an elevator car or a counterweight was in a lower floor because the rope was long to cause resonance. However, for the 50-, 100- and 200-meter-high buildings, the damage probability was the highest when in a layer other than the bottom. The distribution of the probability of rope damage varies considerably depending on the building height.