A two-stroke engine (1) includes a combustion chamber (3) which is defined by a piston (5, 44) which is mounted in the cylinder (2) to reciprocate. The piston (5, 44) has a first control surface (62) which controls an outlet (9) out of the combustion chamber (3) and two second control surfaces (63) for the transfer windows (11, 13) of at least one transfer channel (10, 12). At least two transfer windows (11, 13) are arranged on opposite sides of the cylinder bore (60). At least a first recess is provided on the piston skirt (36) which extends in the peripheral area between the two second control surfaces (63) and which is separated from the transfer window (11, 13) via a section of the piston skirt (36) in every position of the piston (5, 44).