Front-back vibrations of high-speed elevator need to be suppressed as in the case of lateral vibrations. The dynamic model for the front-back vibrations is different from the lateral vibration model since the supporting structure varies. In this study, a dynamic model was derived using the energy method. Based on the free vibration analysis, it was observed that the fundamental frequency for the front-back vibration is slightly lower than the fundamental frequency of the lateral vibration, which means that the active vibration control should be carried out in both directions. The PPF control algorithm was applied to the numerical model under measured rail irregularities. The numerical results show that the active vibration control of elevator front-back vibration is also possible.