A charge/discharge control circuit cuts off a current path to stop charging of an abnormal secondary cell when the voltage of the secondary cell is less than the threshold voltage of a MOS transistor. The charge/discharge control circuit includes a charge and discharge control circuit for monitoring the voltage of a secondary cell and outputting a signal for controlling the charging and discharging of the secondary cell, a switch circuit for receiving the output signal of the charge and discharge control circuit to stop the charging of the secondary cell in an overcharged or overdischarged state, and a low voltage detecting circuit for receiving the output signal of the charge and discharge control circuit, detecting whether the voltage of the secondary cell is below a predetermined voltage, which is below the overdischarge voltage and which is equal to the threshold voltage of a MOS transistor, and for controlling the switch circuit to prevent charging of the secondary cell if the voltage thereof is below the predetermined voltage.