The invention discloses a charging control circuit and a charging method thereof. The charging control circuit mainly comprises a constant-current constant-voltage circuit, a constant-voltage control circuit, a saturation detection circuit and a minimum current limit circuit, wherein the constant-current constant-voltage circuit is used for charging a battery in a constant voltage mode firstly by utilizing the output of the constant-current constant-voltage circuit, and then charging the battery by utilizing the output in a constant current mode converted under the control of the constant-voltage control circuit; and when the battery is approximately fully charged, the minimum current limit circuit is used for limiting the constant-current and constant-voltage circuit to output the minimum voltage to charge the battery in a minimum current charging mode. According to the charging control circuit disclosed by the invention, the minimum current limiting circuit is used for controlling the minimum charging current of the charging control circuit, and the effect of reducing the charging time is achieved.