An exhaust port and an intake port are formed across a crankshaft with a flywheel provided at one end when viewed in a direction of an axis of a cylinder at a two-stroke engine. A pair of scavenging ports is then formed between the exhaust port and the intake port. Scavenging path covers are fitted to a cylinder block of the two-stroke engine and constitute part of scavenging paths that connect the scavenging ports and a crank chamber. The scavenging path cover close to the flywheel is positioned between an axis of the crankshaft and an exhaust path connected to the exhaust port or an intake path connected to the intake port.