An apparatus for estimating an OCV of a battery includes a voltage sensing unit for measuring a battery output voltage; a temperature sensing unit for measuring a battery temperature; a data storing unit for periodically receiving the battery output voltage and temperature data from the sensing units and storing the data in a memory; an OCV variation estimating unit for calculating an OCV variation from a varying pattern of battery output voltages measured in the past and at the present, stored in the memory, by applying a mathematical model defining a correlation between the varying pattern and the OCV variation, and estimating an OCV at a current stage by reflecting a correction factor corresponding to the battery temperature on the calculated OCV variation; and an OCV estimating unit for estimating an OCV at the current stage by reflecting the estimated OCV variation on the OCV estimated at a last stage.