An apparatus and a method stabilize a charging current when recharging a battery in a device that uses a rechargeable battery. The device includes a charge module and a controller. The charge module provides a charging current to the battery, and operates in at least one of a Constant Current (CC) mode that maintains the charging current at a fixed value while the battery is charged, and a Constant Voltage (CV) mode that maintains a battery voltage at a reference value. The controller controls the charge module to operate in the CC mode when starting charging, controls the charge module to operate in the CV mode when the battery voltage reaches the reference value, and controls the charge module to operate in the CC mode for at least one time duration after the battery voltage reaches the reference value.