A vehicle air conditioner control system comprising: an air conditioning device for performing a refrigerating cycle, comprising: a compressor that intakes, compresses, and discharges a refrigerant; a condenser that condenses the refrigerant discharged from the compressor; an expansion valve that depressurizes the refrigerant condensed by the condenser; and an evaporator that performs heat exchange between open air and the refrigerant to vaporize the refrigerant; a compressor ON/OFF control means that controls a running rate of the compressor by alternating between an ON state and an OFF state; a vehicle deceleration fuel cut-off executing means that performs cut-off fuel supply during vehicle deceleration; and a fuel supply recovery executing means that cancels fuel cut-off and recovers fuel supply during vehicle deceleration fuel cut-off period based on a demand to turn on the compressor, characterised in that, if a vehicle speed is between a first vehicle speed for fuel supply recovery with the demand to turn off the compressor and a second vehicle speed for fuel supply recovery with the demand to turn on the compressor during deceleration fuel cut-off with OFF state of the compressor, the compressor ON/OFF control means keeps the OFF state of the compressor and prohibits fuel supply recovery until the vehicle speed arrives at the second vehicle speed for fuel supply recovery with the demand to turn on the compressor even if a temperature (Teva) of the evaporator is higher than a predetermined evaporator temperature (Ton) to require the compressor to turn ON. an air conditioning device for performing a refrigerating cycle, comprising: a compressor that intakes, compresses, and discharges a refrigerant; a condenser that condenses the refrigerant discharged from the compressor; an expansion valve that depressurizes the refrigerant condensed by the condenser; and an evaporator that performs heat exchange between open air and the refrigerant to vaporize the refrigerant; a compressor that intakes, compresses, and discharges a refrigerant; a condenser that condenses the refrigerant discharged from the compressor; an expansion valve that depressurizes the refrigerant condensed by the condenser; and an evaporator that performs heat exchange between open air and the refrigerant to vaporize the refrigerant; a compressor ON/OFF control means that controls a running rate of the compressor by alternating between an ON state and an OFF state; a vehicle deceleration fuel cut-off executing means that performs cut-off fuel supply during vehicle deceleration; and a fuel supply recovery executing means that cancels fuel cut-off and recovers fuel supply during vehicle deceleration fuel cut-off period based on a demand to turn on the compressor, characterised in that, if a vehicle speed is between a first vehicle speed for fuel supply recovery with the demand to turn off the compressor and a second vehicle speed for fuel supply recovery with the demand to turn on the compressor during deceleration fuel cut-off with OFF state of the compressor, the compressor ON/OFF control means keeps the OFF state of the compressor and prohibits fuel supply recovery until the vehicle speed arrives at the second vehicle speed for fuel supply recovery with the demand to turn on the compressor even if a temperature (Teva) of the evaporator is higher than a predetermined evaporator temperature (Ton) to require the compressor to turn ON.