A battery management apparatus (1) includes a sensing unit (20), a calculation unit (36), and a determination unit (38). The sensing unit (20) detects temperature and current of at least one battery cell (C) of a plurality of battery cells in a battery (10). The calculation unit (36) calculates a first degradation capacity (Qd) based on the detected temperature of the at least one battery cell at every unit time while the vehicle is being driven, and calculates a second degradation capacity (Qp) using the detected temperature and a state of charge (SOC) of the at least one battery cell (C) at every unit time while the vehicle is parked. The determination unit (38) determines a replacement time of the battery (10) by selecting one of the battery cells (C) which has a largest sum of the first and second degradation capacities (Qd, Qp), and then calculates a state of health (SOH) of the battery (10) depending on the first and second degradation capacities (Qd, Qp) of the selected one of the battery cells (C).