A method for manufacturing a membrane assembly for EUV lithography, the method including: providing a stack having a planar substrate and at least one membrane layer, wherein the planar substrate includes an inner region and a border region around the inner region; and selectively removing the inner region of the planar substrate. The membrane assembly includes: a membrane formed from the at least one membrane layer; and a border holding the membrane, the border formed from the border region of the planar substrate. The stack is provided with a mechanical protection material configured to mechanically protect the border region during the selectively removing the inner region of the planar substrate.