The zeolite structure is a porous zeolite structure constituted of a formed article obtained by extruding a zeolite raw material containing zeolite particles and an inorganic binding material including at least basic aluminum chloride, a ratio P1 (P1=V2/V1×100) of a volume V2 of the inorganic binding material in the zeolite structure with respect to a volume V1 of the zeolite structure is from 10 to 50 vol %, and a relation of equation (1) is satisfied: P2/P1≦1.0  (1), in which P1 is the ratio of the volume V2 of the inorganic binding material in the zeolite structure with respect to the volume V1 of the zeolite structure and P2 (P2=Vb/Va×100) is a ratio of volumes Vb of pores having pore diameters of 0.003 to 0.03 μm with respect to the whole pore volume Va of the zeolite structure.