When the accelerator is actuated at startup of the engine, a value for target fuel-injection amount at startup Qst is output by a device for electing a target fuel-injection amount at startup 45, this value being selected by minimum value selecting means 44 as the smaller of two values that are an additional fuel injection amount at startup Qsa, which is calculated, on the basis of the previous target fuel-injection amount at startup Qst(−1), by a device for calculating an additional fuel injection amount at startup 42, and a limit fuel-injection amount at startup Qsl, which is calculated, on the basis of accelerator pedal depression amount Ac, by a device for calculating a limit fuel-injection amount at startup 43. Addition to the fuel-injection amount can thus be limited in accordance with the accelerator actuation amount, and the generation of smoke suppressed.