A method is for manufacturing a multilayer radiation window for an X-ray measurement apparatus. The method includes: producing a gas diffusion stop layer made of silicon nitride on a polished surface of a carrier; producing at least one combined layer on an opposite side of the gas diffusion stop layer than the carrier; attaching the combined structure including the carrier, the gas diffusion stop layer, the at least one combined layer to a region around an opening in a support structure with the at least one combined layer facing the support structure; and etching away the carrier. The at least one combined layer includes: a light attenuation layer made of aluminium, and a strengthening layer. A radiation window is manufactured with the method.