An air conditioner including an indoor unit and an outdoor unit, comprising: a mean room temperature sensing mechanism for sensing the mean room temperature, Tia, of an indoor space in which the indoor unit is installed; a compressor contained in the outdoor unit; a compressor controller arranged to control the compressor based on a target pressure value, Ptd, such that the pressure of a refrigerant discharged from the compressor or the pressure of a refrigerant sucked into the compressor becomes the target pressure value; a normal target pressure memory arranged to store a normal target pressure, Pto, which is arranged to be set as the target pressure value for normal control operation of the compressor controller, the normal target pressure being related to the outdoor temperature and air-conditioning load of the indoor space; a normal temperature difference computation unit arranged to calculate a normal temperature difference, ΔTo; the air conditioner being characterized in that the normal temperature difference ΔTo is the difference between a normal saturation temperature corresponding to the normal target pressure Pto and the mean room temperature Tia, and in that the air conditioner comprises a power reduction temperature difference computation unit arranged to receive a target power consumption decrement for reducing the power consumption of the air conditioner relative to power consumption during normal control of the air conditioner, and arranged to use the target power consumption decrement to calculate a power reduction temperature difference ΔTd which is lower than the normal temperature difference ΔTo, wherein the compressor controller is arranged to calculate a power reduction saturation temperature Ttd on the basis of the mean room temperature Tia and the calculated power reduction temperature difference ΔTd, is further arranged to calculate a power reduction target pressure Ptd, which is a saturation pressure corresponding to the calculated power reduction saturation temperature Ttd, and is arranged to change the target pressure value to the power reduction target pressure Ptd. a mean room temperature sensing mechanism for sensing the mean room temperature, Tia, of an indoor space in which the indoor unit is installed; a compressor contained in the outdoor unit; a compressor controller arranged to control the compressor based on a target pressure value, Ptd, such that the pressure of a refrigerant discharged from the compressor or the pressure of a refrigerant sucked into the compressor becomes the target pressure value; a normal target pressure memory arranged to store a normal target pressure, Pto, which is arranged to be set as the target pressure value for normal control operation of the compressor controller, the normal target pressure being related to the outdoor temperature and air-conditioning load of the indoor space; a normal temperature difference computation unit arranged to calculate a normal temperature difference, ΔTo; the air conditioner being characterized in that the normal temperature difference ΔTo is the difference between a normal saturation temperature corresponding to the normal target pressure Pto and the mean room temperature Tia, and in that the air conditioner comprises a power reduction temperature difference computation unit arranged to receive a target power consumption decrement for reducing the power consumption of the air conditioner relative to power consumption during normal control of the air conditioner, and arranged to use the target power consumption decrement to calculate a power reduction temperature difference ΔTd which is lower than the normal temperature difference ΔTo, wherein the compressor controller is arranged to calculate a power reduction saturation temperature Ttd on the basis of the mean room temperature Tia and the calculated power reduction temperature difference ΔTd, is further arranged to calculate a power reduction target pressure Ptd, which is a saturation pressure corresponding to the calculated power reduction saturation temperature Ttd, and is arranged to change the target pressure value to the power reduction target pressure Ptd.