In curing dental resins, polymerizable compounds having at least one ethylenically unsaturated double bond, such as mono- or poly-functional acrylates or methacrylates are polymerized in the presence of N-cyclohexy-5-ethylpyrimidinetrione, a specific organometallic compound typically including acetylacetone copper or lithium acetate, and an organohalogen compound. The amounts of the ethylpyrimidinetrione, organometallic and organohalogen compounds used are respectively 0.1 to 10 parts by weight, 0.001 to 0.2 parts by weight and 0.1 to 5 parts by weight with respect to the polymerization compounds.