Axial Structure of the hysteresis motors like the other axial types of electrical machines, have some outstanding characteristics regarding radial structures such as higher torque to weight ratio, excellent efficiency, adjustable air-gap, and balanced rotor-stator attractive forces. Since, the accurate measurement of the hysteresis machine characteristics by prototyping and testing is expensive and time consuming, in this paper the finite element analysis is adopted for the prediction and analysis of an axial flux hysteresis motor. The analysis is conducted based on the elliptical approximation of the hysteresis loop. Whereas, the elliptical approximation is not able to model the saturation of the hysteresis loop, an iteration based method is proposed to overcome this problem and increase the analysis accuracy. Finally, in order to investigate the proposed model accuracy, the device is prototyped whose experimental results agree well with those extracted from the analytical model.Index Terms--Axial flux, hysteresis motor, magnetic hysteresis, numerical models, finite element analysis, and torque calculation R. Nasiri-Zarandi is with Electrical Machines and Transformers