An elevator rope for a high-rise building is excited forcibly by the displacement of the building caused by earthquakes and wind forces. In this paper, experiments of free vibration and forced vibration of the rope are presented for obtaining the natural frequency and the damping coefficient of the rope. And experiments of forced vibration of the rope whose length varies with time due to the up-and-down movement of the cage are presented. Finite difference analyses of the rope vibration are also 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 that of the experimental results.