As a soft magnetic material with high permeability and low high-frequency loss, amorphous alloys have been widely used in electromagnetic devices such as high-frequency transformers. How to accurately and quickly simulate its inherent hysteresis characteristics is important for the optimal design of equipment. Aiming at the problems of time-consuming numerical solution of classical Preisach hysteresis model, complicated identification of distribution function, and low accuracy in simulating the hysteresis characteristics of amorphous alloys, this paper proposes an analytical Preisach model that can accurately and quickly simulate the hysteresis characteristics of amorphous alloys. First, for the distribution function of the irreversible magnetization component of the amorphous alloy, based on the experimental data of the amorphous alloy hysteresis characteristic curve, a special analytical function is used to fit, and then on the basis of obtaining the closed form Everett function based on the integration method, the non-crystalline alloy is constructed. Irreversible magnetization component of crystal alloy. In addition, a parameter-containing hyperbolic tangent function is introduced to characterize the reversible magnetization component of the amorphous alloy, and then the analytical Preisach model is obtained by linear superposition. By comparing the simulation results of the hysteresis characteristics of the amorphous alloy and the calculation results of the loss with the experimental results by the model, it is found that the relative error is less than 10%, and the numerical solution of the model is simple and easy to be realized by simulation, thus verifying the accuracy and practicality of the model.