Coefficients A and B are calculated from the measured temperature and the measured state of charge. Next, a response voltage Vc is calculated by substituting the measured internal impedance X into a response-voltage correlation equation. Besides, by comparing the response voltage Vc with a predetermined threshold V0, if Vc is bigger than or equal to V0, the battery is determined as normal. By substituting the measured values of internal impedance, temperature, and SOC into the internal impedance calculation formula, a final internal impedance calculation formula is determined by calculating the value of C by an iterating operation. Next, in the case of determining SOH of a battery, by substituting a standard temperature and a standard SOC into the final internal impedance calculation formula, the internal impedance to determine the SOH is calculated. By comparing the internal impedance with SOH determination threshold, the SOH of the battery is determined.