A fuel injection control apparatus for controlling the amount and the timing of fuel injection with the aid of a microcomputer includes a hot-wire type flow sensor for detecting an instantaneous intake air flow velocity within an intake air passage of an internal combustion engine. The output signal of the hot-wire type flow sensor is sampled at every predetermined crank angle or at every predetermined time point to be stored in a RAM. The time at which the instantaneous velocity of the intake air flow within the intake passage becomes maximum is detected. The fuel injection timing of a fuel injection valve disposed in the intake passage is so controlled that the fuel injection is terminated around the time point at which the instantaneous intake air flow velocity is maximum.