From the perspective of railway transportation supplydemand matching, the multi-variable production function model was adopted with the reasonable supply and demand parameters corresponding to the railway network. Referred to the current stabilization status of railway network in the developed countries, the stable model of the railway network was proposed with its revision. On account of the reasonable hypothesis, the stabilization scale of railway network for our whole country, about 0.28 million kilometer, is estimated when we are in high developed countries, which provides a valuable reference for our construction of railway. The scale result is discussed subsequently, which shows that the prediction accuracy of this method is higher in a large geographical area.