The invention provides a preparation method for mordenite zeolite molecular sieve membranes with high acid resistance. The method directly synthesizes mordenite crystals, and then takes the crystals as crystal seeds, and takes silica sol and aluminum isopropoxide as the source of silicon and aluminum to synthesize dense mordenite zeolite molecular sieve membranes on a porous carrier. The method adopts a tubular support body made of various materials and prepares the mordenite zeolite membranes on a mullite support body. The flux of the membranes prepared on a stainless steel support body is twice higher than that of the membranes prepared on the mullite support body. The synthesized membranes show better stability in the studied acidic media under the different acidity conditions of organic acid and inorganic acid. The method can be widely applied to the pervaporation separation process of an acid system and a reactor for pervaporation membranes.