Crosslinkable resin compositions that are cured easily by irradiation with active energy beams and particularly cured quickly with ultraviolet ray are provided, which comprises a polymer containing a maleimido group and an ethylenically unsaturated group. The composition may be an aqueous composition. They provide cured films which are excellent in durability, free from coloring and odors, and also excellent in abrasion resistance, adhesion to substrates, surface smoothness, and chemical resistance.