A method and apparatus for correcting a state of charge (SOC), a battery management system and a storage medium are provided. The method includes: acquiring state data of a battery cell in a case where the battery cell meets a preset standing condition; determining, according to the state data of the battery cell, a near-steady-state battery model for characterizing a change in an open circuit voltage (OCV) over time in a near-steady-state and a steady-state time period threshold for characterizing whether a standing time period is sufficient; processing the steady-state time period threshold by using the near-steady-state battery model to obtain an estimated steady-state OCV value; determining a SOC corresponding to the estimated steady-state OCV value by using a preset correspondence between steady-state OCVs and SOCs; and correcting a current SOC by using the SOC corresponding to the estimated steady-state OCV value.