A direct fuel injection/spark ignition engine control device is configured to enable compression stroke injection when the fuel pressure is low at startup and immediately after startup, and to reduce the wall flow and amount of HC exhaust. When the catalyst requires warming, fuel is injected in the compression stroke, and the fuel injection timing in the compression stroke is set in accordance with the fuel pressure. When the fuel pressure is low, the fuel injection timing injects fuel in the first half of the compression stroke. The fuel injection timing is delayed as the fuel pressure increases until the optimum fuel injection timing is reached.