Abstract: Amorphous iron cores have excellent high-frequency magnetic properties, but have more significant magnetostrictive effects than soft magnetic materials such as electrical steel, and the magnetostrictive properties under high-frequency and harmonic excitation are more complicated. In this paper, based on the principle of minimum internal energy, the coupling relationship between hysteresis and magnetostriction is described according to the hysteresis energy density function, and the hysteresis-free magnetisation strength is expressed by the sum of the contributions of magnetic domain energy along the magnetic field direction, so as to establish the Sablik model based on the hysteresis effect. The expression of eddy current loss is corrected by the method of linear segmentation of the basic magnetisation curve, and then the dynamic Preisach model is established. The nonlinear intrinsic relationship of ferromagnetic materials is introduced to construct the analytical expressions of hysteresis and magnetostriction under single-frequency sinusoidal excitation, and the corresponding parameter identification methods are proposed. Under harmonic excitation, the expressions of the corresponding field quantities are derived based on the principle of linear superposition, and the simulation methods of hysteresis and magnetostriction properties of amorphous alloy under harmonic excitation are further proposed. Finally, the hysteresis and magnetostrictive loops of amorphous alloy material under sinusoidal and harmonic excitations are simulated, respectively. By comparing the results with measurements and conventional methods, the results show that the loss and magnetostriction errors of the proposed method are less than 5% and 10% for sinusoidal and harmonic excitations, respectively, which verifies the accuracy and versatility of the proposed method.