Abstract：Smart materials such as shape memory alloys (SMA) are being widely used as actuators and sensors to achieve positioning and active control purposes. However, a major limitation of SMA actuators is their lack of accuracy due to hysteresis. The Preisach hysteresis model has emerged as the model of choice for the behavior of many smart materials and has recently been applied to the SMA material systems. In this paper, we discusses the adaptation of the Preisach model to describe the hysteresis behavior of SMA actuator system and presents a modified geometric interpretation and numerical implementation method for the classical Preisach model, especially for the hysteresis modeling of SMA actuator system. Finally, one of the assumed functions in Presiach planes given by Gobert is introduced to implement the simulation. Numerical results show that this model can better describe the hysteresis in SMA.