An air-conditioning apparatus comprising: a refrigerant circuit in which a compressor , a heat-source-side heat exchanger , a plurality of expansion devices , refrigerant flow paths in a plurality of intermediate heat exchangers , and a plurality of refrigerant flow switching devices each configured to switch a refrigerant circulation path are connected by a refrigerant pipe , the refrigerant circuit being configured to allow a heat-source-side refrigerant to circulate therethrough; a controller for controlling the air-conditioning apparatus; and a heat medium circuit in which a plurality of heat-medium conveying devices disposed corresponding to the plurality of intermediate heat exchangers , a plurality of use-side heat exchangers , and heat-medium flow paths in the plurality of intermediate heat exchangers are connected by a heat-medium conveying pipe, the heat medium circuit being configured to allow a heat medium to circulates therethrough, wherein the heat-source-side refrigerant and the heat medium exchange heat with each other in the intermediate heat exchangers , characterized in that the controller is configured to control, when all of the plurality of heat-medium conveying devices are operating and a heat exchange amount in the use-side heat exchangers is equal to or lower than a lower limit of a thermal capacity that can be conveyed in the heat medium circuit, before at least one of the plurality of heat-medium conveying devices is stopped, the refrigerant flow path in the intermediate heat exchanger connected to the heat-medium conveying device that is to be stopped is closed, then the at least one of the plurality of heat-medium conveying devices is stopped, and a thermal capacity required in at least one of the use-side heat exchangers is conveyed by the rest of the plurality of heat-medium conveying devices . a refrigerant circuit in which a compressor , a heat-source-side heat exchanger , a plurality of expansion devices , refrigerant flow paths in a plurality of intermediate heat exchangers , and a plurality of refrigerant flow switching devices each configured to switch a refrigerant circulation path are connected by a refrigerant pipe , the refrigerant circuit being configured to allow a heat-source-side refrigerant to circulate therethrough; a controller for controlling the air-conditioning apparatus; and a heat medium circuit in which a plurality of heat-medium conveying devices disposed corresponding to the plurality of intermediate heat exchangers , a plurality of use-side heat exchangers , and heat-medium flow paths in the plurality of intermediate heat exchangers are connected by a heat-medium conveying pipe, the heat medium circuit being configured to allow a heat medium to circulates therethrough, wherein the heat-source-side refrigerant and the heat medium exchange heat with each other in the intermediate heat exchangers , characterized in that the controller is configured to control, when all of the plurality of heat-medium conveying devices are operating and a heat exchange amount in the use-side heat exchangers is equal to or lower than a lower limit of a thermal capacity that can be conveyed in the heat medium circuit, before at least one of the plurality of heat-medium conveying devices is stopped, the refrigerant flow path in the intermediate heat exchanger connected to the heat-medium conveying device that is to be stopped is closed, then the at least one of the plurality of heat-medium conveying devices is stopped, and a thermal capacity required in at least one of the use-side heat exchangers is conveyed by the rest of the plurality of heat-medium conveying devices . <EOS>