A low pressure, low cost electronic fuel injection system (18) for small hand-held two cycle engines (1) is provided which employs a number of improvements, including by way of example and not of limitation, an improved low cost injector construction (45), a throttle body integration (10) that includes mounting the operational components of the supply system on a single unit, an improved ignition module (40), a pressure regulated fuel system controlled by an electronic control unit (42) employing and an adaptive algorithm based on engine speed which controls the speed by varying the amount of fuel provided to the engine.