A twelve-degrees-of-freedom nonlinear vibration model of the elevator cabin-rail coupled dynamic system is established based on the appropriate analysis of the cabin-rail coupled dynamic system.The numerical iterative solution method using the state-space approach is described.The prop- erties in both time domain and frequency domain of the hori- zontal vibration of elevator cabin under different running condi- tions,such as the variation of the excitation intensity of rail irregularities or the variation of velocity,are explored.The ex- ploration provides an impotent theoretical foundation for de- termining the reasonable tolerances of the guide rails in assem- bling.In the mean time,the result is helpful for impelling the studies on optimization of the cabin structure and vibration control of the cabin system.