A coater overlays actinic radiation curable composition on a long support in a liquid phase to constitute a coating layer. The actinic radiation curable composition includes polymerizable compound, and a first polymerization initiator for reacting upon ultraviolet radiation of a first wavelength range, and for rendering the coating layer semi-cured in first-stage curing. A second polymerization initiator reacts upon ultraviolet radiation of a broad wavelength range covering the first wavelength range, and completely cures the coating layer in second-stage curing after the first-stage curing, to obtain an anti-reflection layer. For the first-stage curing, optical filters are combined with an ultraviolet radiation source for the broad wavelength range, and cause transmission of radiation of the first wavelength range for reaction only upon the first polymerization initiator. In one embodiment, the optical filters are arranged in a web width direction of the long support.