Fuel supply system for internal combustion engine

With a composition where there are provided an injection valve (2) installed on each cylinder and a high-atomizing injection valve (3) installed in the upstream, it is aimed to prevent worsened start-up performance and unburnt gas exhaust resulting from adhesion of the fuel on the suction air passage (6) a result of reduced air for atomization during the start-up cranking. With a composition equipped with an injection valve (2) installed on each cylinder of an internal combustion engine and an air-assist type high-atomizing injection valve (3) in the upstream, there is provided an injection controlling means (1) that injects the fuel by the injection valve (2) installed on the suction port during the start-up cranking.