In order to understand the hydrogen permeation phenomena in multiple metal layers, the time dependent permeation rates for duplex membranes of Cu-Ni and Cu-Fe have been systematically measured under hydrogen pressures from 103 to 105 Pa at temperatures from 500 to 1000K, and the obtained results are compared with theoretical estimations calculated from the diffusion equation.In the case of the Cu-Ni duplex membrane, both injection and evolution transients are hardly influenced by the surface effect, and the permeation behavior is well described by the theory. In the case of the Cu-Fe one, the steady state permeation rate also agrees well with the theory, while the time transient seems to be influenced by the surface oxide or the bulk trapping effect.