The invention discloses a novel method for performing a copolymerization reaction of dicyclopentadiene and maleic anhydride, and belongs to the technical field of copolymers. The method comprises the following steps of: under the protection of nitrogen, adding monomers and an initiator into an organic medium and dissolving, reacting for 2 to 12h at the temperature of between 60 and 90 DEG C to obtain a self-stabilizing dispersion system of monodisperse microspheres of an alternating copolymer, and performing centrifugal separation, and drying to obtain a white solid of the dicyclopentadiene/maleic anhydride alternating copolymer, wherein the reaction monomers are the dicyclopentadiene and the maleic anhydride, and the molar ratio of the two monomers is 5:1-1:5; the medium is a mixed solvent of organic acid alkyl ester and organic alkane, and the organic acid alkyl ester accounts for 30 to 70 volume percent of the mixed solvent; and a chemical structure is that: R1 is a hydrogen atom, C1-C5 alkyl, phenyl or benzyl, and R2 is C1-C5 alkyl. A stabilizer and a costabilizer are not required to be added, the reaction system is simple, and a product is easy to separate; and polymer microspheres have smooth and clean surfaces, uniform particle sizes, controllable appearances, and high dispersibility.