A battery state estimation apparatus calculates a measured DC resistance value of a DC resistance based on a current change amount and a voltage change amount, which are calculated in a predetermined period using measured current value and voltage value. The battery state estimation apparatus further calculates (i) a non-temperature dependent constant and (ii) a constant of a temperature dependent function based on (i) an estimated DC resistance value and (ii) the measured DC resistance value. The estimated DC resistance value is an estimated value of the measured DC resistance value; the estimated DC resistance value is represented as a sum of (i) the non-temperature dependent constant Ra, which indicates a temperature independent component of the DC resistance of the secondary battery, and (ii) the temperature dependent function Rb, which indicates a temperature dependent component of the DC resistance of the secondary battery.