There is an increasing usage of piezoceramic actuators in micropostioning applications, because they offer many desirable properties, such as fast response, high stiffness, and no backlash. Since piezoceramic materials are ferroelectric, they are fundamentally nonlinear in their response to an applied electric field, exhibiting a hysteresis effect between the electric field and the displacement. This usually causes undesirable inaccuracy or oscillations and even instability, which may severely limit the performance of the piezoceramic actuator system. One way to compensate hysteresis into set up a model that adequately describes the hysteresis and use it in a control loop.  Focusing on a piezoelectric actuator from Physik Instrument Company, this thesis concentrates on modeling of hysteresis by using both the Preisach model and Prandtl-Ishlinskii model. The experiment on the hysteresis behavior of the piezoelectric actuator is carried out. Based on the measured data, a detailed discussion on the parameters identification for the two models is given and two models for the given piezoelectric actuator are therefore obtained. The validity of the two models is verified by comparing the actual and the model response of the piezoelectric actuator. The validity of the models is tested by comparing the actual and predicted response of the stacked piezoceramic actuator to input voltages.