The invention belongs to the technical field of high polymer materials, and particularly relates to a preparation method of double-terminated polysulfone, thepreparation method comprises the following steps: taking bisphenol A and 4, 4 '-dichlorodiphenyl sulfone as reaction monomers, adding an end-capping reagent A with activity lower than that of the bisphenol A, a salt-forming agent and a solvent for reaction until the molecular weight reaches the target molecular weight, adding an end-capping reagent B with activity higher than that of the bisphenol A for continuous reaction, and after the reaction is finished, carrying out post-treatment to obtain the double-terminated polysulfone. The end-capping reagent A with activity lower than that of bisphenol A is added in the early stage of the reaction to reduce the low molecular weight polymer part in the final product so that the mechanical property, heat resistance, thermal stability and other properties of the product are improved. When the reaction is about to be finished, the end-capping reagent B with higher activity than bisphenol A is added so that the molecular weight is controlled through rapid end capping, the performance of products in different batches can be more stable, and the method is more suitable for the field of preparation of hollow fiber membranes.