PURPOSE: To enable the installation of injection valves in a scavenging passage and prevent a new mixture from blowing through, by providing at least two fuel injection valves in the scavenging passage of a two-cycle engine and by using the respective injection valves depending on necessity.

CONSTITUTION: Two injection solenoid valves 12, 13 are provided in the scavenging passage of a two-cycle engine. The signal of a crank angle sensor 6 attached to the engine is applied to an injection valve control circuit 9 and a fuel injection pulse operation circuit 10 through a rotational frequency detection circuit 7. The signal of a sucked air quantity detection circuit 8 is also applied to the circuits 9, 10 to determine an injection pulse signal for a drive circuit 11. In slow running or the like, only one injection solenoid valve is put in operation.