Abstract: Accurate prediction of hysteresis characteristics of nanocrystalline materials is of great significance for the electromagnetic characteristics analysis of high-frequency transformers. However, due to the high cost and inaccurate characterization methods of the static hysteresis characteristics, existing numerical methods associated with the static hysteresis models are challenging to balance practicality and effectiveness. First, this paper deduces the functional relationship between magnetic flux density and model parameters. The proposed parameter calculation method is in line with the magnetization mechanism of materials under unsaturated regions, which does not rely on measured static hysteresis loops. Next, the paper presents a numerical method to solve the strip's eddy currents distribution based on accurately characterizing the static hysteresis characteristics, and then solving the magnetic flux density distribution inside the strip. Finally, based on the statistical theory of losses, a hysteresis characteristics prediction method for nanocrystalline materials under non-sinusoidal excitation is established. The experiments verify the effectiveness of the proposed method.