As piezoelectric actuators have poor position accuracy caused by their inherent hysteresis nonlinearities, this paper proposed a new modeling method to precisely describe their hysteresis phenomena. Based on the motion rules of hysteresis curves and the nonlocal memory property of the hysteresis nonlinearity, proposed model modified the modeling errors fitted by parabolic model. To verify the feasibility of the model, an experiment was performed by the PST150/7/40VS12 piezoelectric actuator. Experimental results indicate that for the first order reversal signal, the maximum error is 0.141 3 μm and the mean-squared error (MSE) is 0.060 4 μm by using the parabolic model. However, for a more complex signal, those of the parabolic model are 1.396 0 μm and 0.856 6 μm, respectively. When using the amended model to predict the actuator response under the above-mentioned complex signal, the maximum prediction error and the mean-squared error are 0.237 0 μm and 0.09 μm, respectively. These data demonstrate that the proposed model not only provides a minor-loop identical property, but also offers the nonlocal property and it can precisely predict the hysteresis path for assigned complex input profiles.