A cooling system for a fuel cell of a motor vehicle may include a closed coolant circuit through which a coolant is circulatable, a heat exchanger fluidically incorporated in the coolant circuit for cooling the coolant, an open sprinkler circuit through which a sprinkler fluid is flowable for cooling the heat exchanger, and a channel structure fluidically incorporated in the sprinkler circuit. The heat exchanger may include an air inlet surface, an air outlet surface, and a plurality of cooling tubes. The coolant may be flowable through the heat exchanger via the plurality of cooling tubes. Air may be flowable through the heat exchanger from the air inlet surface to the air outlet surface. The channel structure may include a plurality of channels, which may each include a plurality of outlet nozzles via which the sprinkler fluid is appliable to the plurality of cooling tubes.