A compression-ignition type engine in which fuel is injected in a combustion chamber during the compression stroke or intake stroke before 60 degrees before top dead center of the compression stroke and in which the mean particle size of the fuel injected at that time is made a size in which the temperature of the particles reaches the boiling point of the main ingredient of the fuel, determined by the pressure in the combustion chamber, at substantially the top dead center of the compression stroke. At least when the engine is operating under a heavy load, the EGR ratio is made more than 40 percent and the air excess ratio is made approximately 1.0.