A free-standing zeolite membrane and a zeolite membrane supported on a support structure are disclosed. The free-standing zeolite membrane is fabricated by mixing zeolite particles and an optional inorganic binder, forming a green body, and sintering the green body at a sufficiently low temperature so as to prevent damage to the gas selectivity properties of the zeolite particles. The supported composite zeolite membrane is fabricated by mixing a sacrificial binder, an optional inorganic binder, boehmite sol and zeolite particles to form a slurry. The slurry is then coated onto a porous support structure, dried and sintered at a sufficiently low temperature so as to prevent damage to the gas selective properties of the zeolite particles. In both membranes, the zeolite particles span the entire thickness of the membrane to provide a high selectivity path for the flow of gas to pass therethrough.