A cooling system for the cooling of heat producing devices in an aircraft is designed with a central cold producing device, at least one cold consumer and a cold conveyance system which connects the cold producing device and the cold consumer. With this cooling system, the cold conveyance system has at least one cooling circuit which supplies a cooled cold carrier medium from the cold producing device to at least one cold consumer and brings the cold carrier medium back to the cold producing device, so that at least one cold consumer is supplied with the cold produced in the cold producing device.