A cooling arrangement for cooling laser gas for a gas laser includes a first cooling circuit having a first cooling assembly and a first heat exchanger for cooling laser gas which flows from a fan to a resonator of the gas laser, and a second cooling circuit which is independent of the first and which has a second cooling assembly and a second heat exchanger for cooling laser gas which flows from the resonator to the fan. The second cooling circuit has at least one additional heat exchanger for additionally cooling the laser gas which flows from the fan to the resonator.