A method of preventing polymer scale formation in a polymerization vessel during the polymerization of a monomer having an ethylenically double bond, wherein said polymerization is carried out in a polymerization vessel in which its inner wall surface is previously coated with a water-based coating solution containing (A) a water-soluble anionic dye and (B) at least one member selected from the group consisting of water-insoluble cationic dyes and water-insoluble nitrogen-containing organic compounds and having a pH of 7 or less and then dried to form a coating. This method can effectively prevent scale formation in the polymerization of extensive manomers having an ethylenically double bond.