Fuel injection system for internal combustion engine starting time

A fuel injection system for an internal combustion engine (1) starting time according to the invention sets an amount of fuel (TAU) injected into each cylinder sequentially in a first cycle of fuel injection during a normal engine start in which an engine speed (N) increases, such that the amount of fuel (TAU) to be injected into one of the cylinders in the last injection within the first cycle is larger than the amount of fuel (TAU) to be injected into another one of the cylinders in the first injection within the first cycle. Thus, the emission of unburned HC is suppressed during engine start.