A two-stroke engine has a cylinder in which a combustion chamber is provided. The combustion chamber is delimited by a reciprocating piston that drives with a connecting rod a crankshaft rotatably supported in a crankcase. In predetermined positions of the piston, the crankcase is connected by at least one transfer channel to the combustion chamber. The two-stroke engine has a mixture channel forsupplying a fuel/air mixture and an air channel that supplies substantially fuel-free air to the transfer channel. In order to enable in a simple way an adjustment of an air channel to different two-stroke engines of a model range, at one end face of a component in which the air channel is formed a throttle member is arranged that throttles the air flow through the air channel in at least one operating state of the two-stroke engine.