H2 permeation hysteresis has been observed during cycling of a 3 μm thick supported PdCu membrane with ∼50 atom % Pd through the fcc/bcc (face-centered cubic/body-centered cubic) miscibility gap between 723 and 873 K. Structural investigations after annealing of membrane fragments under H2 at 823 K reveal retardation of the fcc(H) → bcc(H) transition, which is attributed to the occurrence of metastable hydrogenated fcc PdCu(H) phases. The H2 flux at 0.1 MPa H2 pressure difference in the well-annealed bcc single phase regime below 723 K can be described by JH2 = (1.3 ± 0.2) mol·m−2·s−1 exp[(−11.1 ± 0.6) kJ·mol−1/(RT)] and that in the fcc single phase regime above 873 K by JH2 = (7 ± 2) mol·m−2·s−1 exp[(−30.3 ± 2.5) kJ·mol−1/(RT)].