In this study, assuming the case of fuel starvation (e.g. high utilization of fuel), the stop of fuel gas supply under SOFCs (solid oxide fuel cells) operating condition that caused leakage of oxygen into the pinholes and re-oxidation of the anode substrate. At that time, OCV (open circuit voltage) was maintained in the case of pinhole free electrolyte. But, when there are many pinholes in the electrolyte, the OCV has fallen because an airflow through the pinholes and then directly burning fuel that caused increase of the oxygen partial pressure at the anode side. In this experiment, air supply was continued while the fuel supply was stopped. Therefore, the oxygen partial pressure at the cathode side is considered to be constant that enable the OCV to convert the oxygen partial pressure at the anode side by using the Nernst equation. To consider the oxygen partial pressure change in the cell’s anode side with time as an accumulated oxygen permeation curve, it could be found oxygen transmission rate (OTR). This value depends on the number and size of pinholes, thus OTR could be used as an index of the oxidation resistance in SOFCs.