Disclosed is an X-ray transmitting frame-supported membrane of silicon nitride suitable as a mask blank of an X-ray lithographic mask having outstandingly high resistance against irradiation with high-energy radiations and high transmission of light of a wavelength of 633 nm. These very desirable properties are obtained as a consequence of the extremely low content, i.e. 1.0 atomic % or less, of hydrogen in the silicon nitride, which can be achieved as a result of the specific preparation procedure by the CVD method in which the reactant gases are silane or disilane and ammonia in a specified mixing ratio to be reacted under a specified pressure and at a specified temperature.