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An elevator rope in a high-rise building is forcibly excited by the displacement of the building caused by earthquakes and wind forces. This paper presents experiments involving free vibration and forced vibration of a rope for obtaining its natural frequency and damping coefficient. Experiments involving forced vibration of a rope whose length varies with time due to the up-and-down movement of a cage are also presented. Finite difference analyses of the rope vibration were performed by considering the time-varying length of the rope, based on the assumption that the movement velocity is constant. The calculated results of the finite difference analyses are in fairly good agreement with the experimental results.