A carburetor has a carburetor housing in which an air passage and a mixture passage are disposed. A barrel valve controls the air passage and the mixture passage. The barrel valve has a mixture passage section and an air passage section formed therein. The air passage in at least one position of the barrel valve is closed off at least partially by the barrel valve. The air passage in the at least one position of the barrel valve in which the air passage is at least partially closed off by the barrel valve is connected by a connection within the barrel valve with the mixture passage. An internal combustion engine equipped with such a carburetor exhibits excellent running behavior.