A direct-injection internal combustion engine and a combustion method therefore in which fuel injection timing of a fuel injection valve is so configured that (a) the fuel inverted from a cavity in a crown portion of a piston reaches proximity to the discharge electrode portion of a spark plug later than the time of ignition or (b) fuel injection by the fuel injection valve is completed at approximately the same time of ignition. There is no risk of rich combustion at the discharge electrode portion due to the mixed fuel-air mass having a high fuel density, and consequently problems such as wear on the spark plug or smoke generation can be avoided.