Fine particles of high heat resistant polymer obtained by emulsion polymerization or seeded polymerization of at least one epoxy ester (C) having two or more unsaturated bonds in one molecule and at least one reactive monomer (D) having at least one unsaturated double bond in one molecule, in the absence of a water-insoluble inorganic material as a dispersion stabilizer, the epoxy ester (C) being obtained by adding at least one unsaturated monobasic acid (B) to at least one epoxide (A-1) having at least one glycidyl group and one monocyclic hydrocarbon group in one molecule, and/or at least one epoxide (A-2) having at least one cycloaliphatic epoxy group in one molecule. The fine polymer particles have excellent heat resistance and solvent resistance, and an aqueous or alcoholic dispersion of such fine polymer particles is produced therefrom.