The invention provides a curable resin composition having an addition polymerization-based block copolymer (I) and an ethylenic unsaturated compound (II). Also provided is a flexographic plate material using the curable resin composition as its constituent. The flexographic plate material containing the curable resin composition of the present invention, can be cured to form strong and extendable areas and can be used to make flexographic plates that can form a sharp image plate surface even for a fine image. The flexographic plate material of the present invention is particularly useful in printing on cardboards, recycled paper or other paper articles with rough surfaces.