The fuel injection amounts into each cylinder are set on the assumption that a heavy fuel will be injected during the engine starting process, and a specific torque is allowed to be generated by combustion in a specific cylinder when a fuel with a specific property between those of the heaviest fuel and the lightest fuel is injected thereinto. When the torque generated in the specific cylinder is in a range at or around the specific torque, the property level of fuel to be injected during the engine starting process is determined to be in a level range at or around the specific property. When the torque generated in the specific cylinder is higher than the range around the specific torque, the property level is determined to be in a level range on the light fuel side of the level range around the specific property.