A method of predicting a maximum discharge current for a battery cell includes: receiving a discharge time and a discharge limitation voltage; setting a discharge reference voltage; obtaining a proportional constant and an index parameter corresponding to the discharge reference voltage, wherein the proportional constant and the index parameter are applied to a relation between a constant current and a discharge time during a discharge; calculating a constant current for the discharge time by using the proportional constant and the index parameter; and adjusting the discharge reference voltage when a difference between a temporary discharge limitation voltage at which a voltage due to the constant current and an internal resistance of the battery cell is dropped from the discharge reference voltage and the discharge limitation voltage deviates from a predetermined error.