An air-conditioning apparatus is provided with a heat-source device that supplies a refrigerant, a relay unit that exchanges heat of a heat medium such as water or anti-freezing fluid supplied from the heat-source device in an intermediate heat exchanger and supplies the heat medium, an indoor unit that exchanges heat between a use side heat exchanger through which the heat medium supplied from the relay unit flows and indoor air and performs cooling or heating in the indoor space, a controller that controls operations of the heat-source device, the relay unit and the indoor unit, and a third temperature sensor that detects the temperature of the heat medium flowing through the use side heat exchanger, and if an abnormality in at least one of the heat-source device and the relay unit is detected, the controller continues the operation of the indoor unit while the temperature detected by the third temperature sensor remains within a first predetermined temperature range.