Fuel injection control device for internal combustion engine

To prevent generation of noise due to a misfire when a rotation speed is increased to an operational rotation speed immediately after low-temperature start, or is increased from an idling rotation speed in a low-temperature state to the operational rotation speed, an embodiment includes a fuel injection device capable of performing multi-stage injection of fuel accumulated in a common rail through an injector, a cooling water temperature sensor as a water temperature detection unit configured to detect a cooling water temperature of an engine, an exhaust temperature sensor as an exhaust temperature detection unit configured to detect the exhaust temperature of the engine, and an engine control unit as a control device. The control device executes a misfire avoiding mode in which the multi-stage injection is continued when the cooling water temperature is not lower than a predetermined water temperature T at start of the engine.