A method for controlling a refrigerator comprising a first evaporator, which receives a compressed refrigerant to generate cold air for cooling a first storage chamber having a high-temperature chamber and a low-temperature chamber, which have different temperatures, a first cooling fan for supplying the cold air into the first storage chamber, a second evaporator receiving the compressed refrigerant to generate cold air for cooling a second storage chamber that is maintained at a temperature different from that of the first storage chamber, a second cooling fan for supplying the cold air into the second storage chamber, and at least one damper to selectively open one or more of a first cold-air passage through which the cold air flows to the high-temperature chamber and a second cold-air passage through which the cold air flows to the low-temperature chamber, wherein the cooling of the first storage chamber and the cooling of the second storage chamber are alternately or simultaneously performed and wherein the cooling of the high-temperature chamber and the low-temperature chamber are simultaneously or alternately performed, the method comprising: driving the first cooling fan to cool the first storage chamber; adjusting the damper to allow the cold air to simultaneously flow through the first and second cold-air passages; adjusting the damper to reduce the opening angle of the first cold-air passage when the temperature of the high-temperature chamber reaches a value smaller than or equal to a lower limit temperature for the high-temperature chamber; adjusting the damper to reduce the opening angle of the second cold-air passage, when the temperature of the low-temperature chamber reaches a value smaller than or equal to a lower limit temperature for the low-temperature chamber; and driving the second cooling fan to cool the second storage chamber, wherein, after the temperature of the high-temperature chamber reaches the value smaller than or equal to the lower limit temperature for the high-temperature chamber, when a predetermined time elapses or the sensed temperature of the high-temperature chamber reaches a first set temperature between an upper limit temperature and the lower limit temperature for the high-temperature chamber, the damper is adjusted to increase the opening angle of the first cold-air passage, characterized in that the method further comprises increasing an output of the first cooling fan and adjusting the damper to increase opening angles of one or more of the first and second cold-air passages, after the driving of the second cooling fan starts, when a predetermined time elapses, or the sensed temperature of the high-temperature chamber reaches a second set temperature between the upper limit temperature and the lower limit temperature for the high-temperature chamber. driving the first cooling fan to cool the first storage chamber; adjusting the damper to allow the cold air to simultaneously flow through the first and second cold-air passages; adjusting the damper to reduce the opening angle of the first cold-air passage when the temperature of the high-temperature chamber reaches a value smaller than or equal to a lower limit temperature for the high-temperature chamber; adjusting the damper to reduce the opening angle of the second cold-air passage, when the temperature of the low-temperature chamber reaches a value smaller than or equal to a lower limit temperature for the low-temperature chamber; and driving the second cooling fan to cool the second storage chamber, wherein, after the temperature of the high-temperature chamber reaches the value smaller than or equal to the lower limit temperature for the high-temperature chamber, when a predetermined time elapses or the sensed temperature of the high-temperature chamber reaches a first set temperature between an upper limit temperature and the lower limit temperature for the high-temperature chamber, the damper is adjusted to increase the opening angle of the first cold-air passage, characterized in that the method further comprises increasing an output of the first cooling fan and adjusting the damper to increase opening angles of one or more of the first and second cold-air passages, after the driving of the second cooling fan starts, when a predetermined time elapses, or the sensed temperature of the high-temperature chamber reaches a second set temperature between the upper limit temperature and the lower limit temperature for the high-temperature chamber.