The Jiles Atherton hysteresis model (J-A model) is a mainstream magnetization model that describes the hysteresis phenomenon of ferromagnetic materials. It is widely used in the field of magnetic modeling, which can reflect macroscopic magnetization phenomena and calculate micro energy loss changes. This article derives the characterization form of J-A theory based on the magnetization mechanism and energy conservation equation, and conducts simulation calculations on different material samples. The simulation results are compared with the measured magnetic characteristics data of the material, verifying the effectiveness and accuracy of the J-A model, which can more accurately simulate the static hysteresis loop of ferromagnetic materials.