The invention provides a zeolite membrane production apparatus (100) comprising: a reaction container (3) which has a support insertion opening (3c) for insertion of tubular supports (1) and which houses a reaction solution (2) for formation of zeolite membranes on the surfaces of the supports (1), a heating means (4) for heating the reaction solution (2) through the reaction container (3), and a supporting apparatus (5) which is provided on the reaction container (3) in a freely detachable manner and which supports a plurality of the supports (1); wherein: the inner wall surface (S) of the reaction container (3) has two mutually parallel flat surfaces (S1, S2), the supporting apparatus (5) has a plurality of supporting sections (14a) that anchor one end of each of the plurality of supports (1), and the plurality of supporting sections (14a) are provided in the supporting apparatus (5) in such a manner that when the supporting apparatus (5) is set in the reaction container (3), each of the plurality of supports (1) is disposed between the two flat surfaces (S1, S2) and parallel to the two flat surfaces (S1, S2). According to the present invention, there is provided a zeolite membrane production apparatus that can simultaneously form zeolite membranes which are uniform with respect to a plurality of supports.