The current response of a membrane covered-electrode with respect to the fluid motion in stagnation flow was investigated in this study. The mathematical model was set up to analyze oxygen transport in this flow regime. The current predicted by the model was compared with the results of the experiments performed using polyethylene film and platinum cathode. One dimensional model was in good agreement with the experimental results when the thickness of hydrodynamic boundary layer was smaller than or comparable to the radius of the electrode, but it did not agree well when the thickness exceeded the radius of the electrode. This may be due to the reason that the radial diffusion term neglected in one dimensional model becomes important as well as the axial diffusion term. It appeared that the current response became less sensitive to the hydrodynamics of the outside of membrane as the thickness of membrane increased.