Abstract: Several works were developed for local and global magnetic force calculation, this works are based on different theories such as a simplified magnetisation model and energy approach, generally this models are applicable for a ferromagnetic materials considering their linear comportment, or in reality the magnetisation phenomena (saturation phenomena) of these materials make possible to take into account a non-linear model known as the Hysteresis model In this study we present the method of Maxwell stress tensor and its application in ferromagnetic material calculation using the model of Preisach Hysteresis which will be integrated to 2D FEM calculation code For a simulation result we use two axisymetrical actuators from which the essential curves are presented such as the force time variation, the mechanical behaviour (displacement) and the magnetic quantities (magnetic field, magnetic induction).