The selective transport characteristics of $K^+$ and $Na^+$ of cell membrane model which irradiated by 60Co ${gamma}$-ray was investigated. The cell membrane model used in this experiment was a Na+ type sulfonated copolymerized membrane of styrene and divinylbenezene. The initial flux of the ion was increased with increase of both $H^+$ ion concentration. In this experiment range(pH 0.5-3, temperature $15-65^{circ}C$), first, the selectivity of $K^+$ and the ratio K+/Na+ of membrane which was not irradiated was about 1.06 - 1.13 and second, that of K+ and the ratio $K^+/Na^+$ of membrane which was irradiated was near about 0. And the driving force of pH of irradiated membrane was significantly increased about 4-5 times than membrane which was not irradiated. As selective transport of K+ and Na+ of cell membrane model were abnormal, cell damages were appeared at cell.