The invention provides a hysteretic characteristic model prediction apparatus and method. The apparatus comprises a bearing device used for placing a detected device; a loading device used for applying a load to the detected device; a load force measurement device connected with the loading device for measuring the load applied by the loading device to the detected device; a displacement measurement device connected with the detected device for measuring displacement which the detected device moves under the effect of the load; and a data processing module used for receiving the load measured by the force measurement device and the displacement measured by the displacement measurement device, and according to the load and the displacement, determining a hysteretic characteristic model of the detected device. The tubular bus slide fitting hysteretic characteristic prediction model provided by the invention can accurately predict a hysteretic characteristic of a tubular bus slide fitting. The prediction model can be applied to anti-vibration and power feature calculation of transformer station interconnection high-voltage electrical equipment with connected tubular bus slide fittings, and lays a foundation for accurate calculation of power features and anti-vibration performance of the transformer station interconnection high-voltage electrical equipment.