A refrigerating and air-conditioning apparatus provided with a refrigeration cycle in which a compressor, a heat source side heat exchanger, an expansion device, and a use side heat exchanger are connected through a refrigerant pipe, the refrigerating and air-conditioning apparatus comprising: a suction temperature detecting device configured to detect, as a suction temperature, a temperature of air sucked into the use side heat exchanger from a space to be air-conditioned; a state detecting device configured to detect a state of refrigerant flowing through inside the use side heat exchanger; and an operation control device configured to control an operation of the compressor based on a set temperature as a target temperature of the air-conditioned space, the suction temperature detected by the suction temperature detecting device, and the state of the refrigerant detected by the state detecting device, characterised in that the operation control device includes a correction amount setting unit configured to set a temperature correction amount for such a correction that a necessary air-conditioning capability is lower than an air-conditioning capability corresponding to the set temperature, such that the temperature correction amount is to be reduced by a predetermined change amount at each setting, a target suction temperature setting unit configured to set a target suction temperature based on the temperature correction amount set by the correction amount setting unit and the set temperature, a target refrigerant temperature setting unit configured to set a target refrigerant temperature of refrigerant flowing into the use side heat exchanger such that the suction temperature is to be equal to the target suction temperature, and a compressor control unit configured to control a capacity of the compressor such that the refrigerant flowing into the use side heat exchanger is to be the target refrigerant temperature and wherein the correction amount setting unit includes a hunting measuring block configured to determine whether a number of times of hunting of the suction temperature is larger than a set number of times, and a correction amount calculating block configured to reduce the temperature correction amount by the change amount when the hunting measuring block determines that the number of times of hunting is larger than the set number of times. a suction temperature detecting device configured to detect, as a suction temperature, a temperature of air sucked into the use side heat exchanger from a space to be air-conditioned; a state detecting device configured to detect a state of refrigerant flowing through inside the use side heat exchanger; and an operation control device configured to control an operation of the compressor based on a set temperature as a target temperature of the air-conditioned space, the suction temperature detected by the suction temperature detecting device, and the state of the refrigerant detected by the state detecting device, characterised in that the operation control device includes a correction amount setting unit configured to set a temperature correction amount for such a correction that a necessary air-conditioning capability is lower than an air-conditioning capability corresponding to the set temperature, such that the temperature correction amount is to be reduced by a predetermined change amount at each setting, a target suction temperature setting unit configured to set a target suction temperature based on the temperature correction amount set by the correction amount setting unit and the set temperature, a target refrigerant temperature setting unit configured to set a target refrigerant temperature of refrigerant flowing into the use side heat exchanger such that the suction temperature is to be equal to the target suction temperature, and a compressor control unit configured to control a capacity of the compressor such that the refrigerant flowing into the use side heat exchanger is to be the target refrigerant temperature and wherein the correction amount setting unit includes a hunting measuring block configured to determine whether a number of times of hunting of the suction temperature is larger than a set number of times, and a correction amount calculating block configured to reduce the temperature correction amount by the change amount when the hunting measuring block determines that the number of times of hunting is larger than the set number of times. a hunting measuring block configured to determine whether a number of times of hunting of the suction temperature is larger than a set number of times, and a correction amount calculating block configured to reduce the temperature correction amount by the change amount when the hunting measuring block determines that the number of times of hunting is larger than the set number of times.