The invention relates to a preparation method of resin beads, which mainly solves the problems that the existing catalytic hydrogenation technology is relatively complicated in process, high in cost,high in solvent extraction cost and difficult in effectively utilizing and treating acid residues obtained by a sulfonation method. The preparation method comprises the following steps: adding styrenemonomers into a solvent in the presence of nitrogen, adding a catalyst and triethylamine, dropwise adding a mixed solution of a sulfonating agent and solvent, separating and purifying a product by utilizing a column chromatography, obtaining sulfuryl-containing styrene monomers, adding the styrene monomers and the sulfuryl-containing styrene monomers into a reaction apparatus, adopting a polyvinyl alcohol aqueous solution as the solvent, introducing nitrogen, adding a cross-linking agent, reacting to obtain solid beads, and filtering to obtain the resin beads. The preparation method of the resin beads has the advantages that the heat stability and chemical stability of the resin beads can be kept, and the adsorption efficiency can be increased; and the reusability of the resin beads can be ensured.