A multi-type air conditioner comprising: a single outdoor unit, a plurality of indoor units (3A-3F) which are connected in parallel to the single outdoor unit, and a closed-cycle refrigerant circuit which is formed of a compressor, a four-way switching valve, an outdoor heat exchanger, a first electronic expansion valve, a receiver, a plurality of indoor heat exchangers connected in parallel to each other, and a plurality of second electronic expansion valves (10A-10F) connected in parallel to the plurality of indoor heat exchangers (19A-19F), characterized in that the multi-type air conditioner further comprises an expansion-valve control section which controls the first electronic expansion valve, wherein the expansion valve control section is configured to perform open-loop control for the first electronic expansion valve for a predetermined period of time at a degree of opening calculated based on particular parameters at a starting time of a heating operation and at the time of a change in the number of operated indoor units; wherein the expansion valve control section is further configured to then switch over to zone control in which a discharge degree of superheat is controlled so as to fall within a target zone; and wherein the expansion-valve control section is further configured to correct, when a temperature deviation of the discharge degree of superheat with respect to the target zone and a time variation of the discharge degree of superheat are large at the switchover to zone control, a degree of opening of the first electronic expansion valve for the next open-loop control in response thereto. a single outdoor unit, a plurality of indoor units (3A-3F) which are connected in parallel to the single outdoor unit, and a closed-cycle refrigerant circuit which is formed of a compressor, a four-way switching valve, an outdoor heat exchanger, a first electronic expansion valve, a receiver, a plurality of indoor heat exchangers connected in parallel to each other, and a plurality of second electronic expansion valves (10A-10F) connected in parallel to the plurality of indoor heat exchangers (19A-19F), characterized in that the multi-type air conditioner further comprises an expansion-valve control section which controls the first electronic expansion valve, wherein the expansion valve control section is configured to perform open-loop control for the first electronic expansion valve for a predetermined period of time at a degree of opening calculated based on particular parameters at a starting time of a heating operation and at the time of a change in the number of operated indoor units; wherein the expansion valve control section is further configured to then switch over to zone control in which a discharge degree of superheat is controlled so as to fall within a target zone; and wherein the expansion-valve control section is further configured to correct, when a temperature deviation of the discharge degree of superheat with respect to the target zone and a time variation of the discharge degree of superheat are large at the switchover to zone control, a degree of opening of the first electronic expansion valve for the next open-loop control in response thereto.