A container refrigeration device comprising: a cooling section having a refrigerant circuit which includes a compressor, a condenser, an expansion mechanism, and an evaporator that are sequentially connected together, and through which a refrigerant circulates, and a heating device provided downstream of the evaporator with respect to a direction in which sucked air that has been sucked from an inside of a container flows, the cooling section configured to allow the sucked air to pass sequentially through the evaporator and the heating device, and then, to be blown into the inside of the container, the container refrigeration device configured to perform a cooling operation in which the heating device is at rest and the sucked air is cooled by the evaporator, and a dehumidifying operation in which the sucked air is cooled and dehumidified by the evaporator and then heated by the heating device, characterized in that the container refrigeration device further includes a blown air temperature sensor configured to detect a temperature of blown air which is being blown into the inside of the container after having passed sequentially through the evaporator and the heating device, a temperature control section configured to control, during the cooling and dehumidifying operations, the cooling section such that a detected blown air temperature (Tss) which is a temperature of the blown air detected by the blown air temperature sensor becomes equal to a predetermined target temperature (Tx), and a target control section, where the target control section sets, during the cooling operation, the target temperature (Tx) to be a first preset temperature which is equal to a preset inside temperature (Tsp) that has been determined in advance with respect to an inside temperature of the container, and once a switch has been made from the cooling operation to the dehumidifying operation, the target control section sets the target temperature (Tx) to be a second preset temperature which is the sum of the preset inside temperature (Tsp) and a predetermined target increment temperature. a cooling section having a refrigerant circuit which includes a compressor, a condenser, an expansion mechanism, and an evaporator that are sequentially connected together, and through which a refrigerant circulates, and a heating device provided downstream of the evaporator with respect to a direction in which sucked air that has been sucked from an inside of a container flows, the cooling section configured to allow the sucked air to pass sequentially through the evaporator and the heating device, and then, to be blown into the inside of the container, the container refrigeration device configured to perform a cooling operation in which the heating device is at rest and the sucked air is cooled by the evaporator, and a dehumidifying operation in which the sucked air is cooled and dehumidified by the evaporator and then heated by the heating device, characterized in that the container refrigeration device further includes a blown air temperature sensor configured to detect a temperature of blown air which is being blown into the inside of the container after having passed sequentially through the evaporator and the heating device, a temperature control section configured to control, during the cooling and dehumidifying operations, the cooling section such that a detected blown air temperature (Tss) which is a temperature of the blown air detected by the blown air temperature sensor becomes equal to a predetermined target temperature (Tx), and a target control section, where the target control section sets, during the cooling operation, the target temperature (Tx) to be a first preset temperature which is equal to a preset inside temperature (Tsp) that has been determined in advance with respect to an inside temperature of the container, and once a switch has been made from the cooling operation to the dehumidifying operation, the target control section sets the target temperature (Tx) to be a second preset temperature which is the sum of the preset inside temperature (Tsp) and a predetermined target increment temperature. a blown air temperature sensor configured to detect a temperature of blown air which is being blown into the inside of the container after having passed sequentially through the evaporator and the heating device, a temperature control section configured to control, during the cooling and dehumidifying operations, the cooling section such that a detected blown air temperature (Tss) which is a temperature of the blown air detected by the blown air temperature sensor becomes equal to a predetermined target temperature (Tx), and a target control section, where the target control section sets, during the cooling operation, the target temperature (Tx) to be a first preset temperature which is equal to a preset inside temperature (Tsp) that has been determined in advance with respect to an inside temperature of the container, and once a switch has been made from the cooling operation to the dehumidifying operation, the target control section sets the target temperature (Tx) to be a second preset temperature which is the sum of the preset inside temperature (Tsp) and a predetermined target increment temperature.