The invention relates to a system for air conditioning at least one partial region of an airplane, comprising an air supply device (18) for providing a region of the airplane that is to be ventilated with a desired temperature and with a desired pressure of the air to be fed. An air supply duct (20) is connected to the air supply device at a first end. A second end of the air supply duct (20) is connected to an air inlet (24) ending in the region of the airplane to be ventilated, located close to the floor. A control device (26) is provided in order to ensure that the air provided by the air supply device enters the region of the airplane to be ventilated via the air inlet with such a speed that the air is distributed close to the floor in the region of the airplane to be ventilated and rises at heat sources present in the region of the airplane to be ventilated. The air provided from the air supply system enters the region of the airplane to be ventilated with such a temperature via the air inlet that the desired room temperature is achieved in the region of the airplane to be ventilated.