A direct fuel injection engine is provided that an appropriate stratified fuel-air mixture is formed to conduct good stratified combustion over a wide range of loads. The engine has a fuel injection valve that is arranged at an upper surface of the combustion chamber on or near the center reciprocation axis of the piston and oriented such that the injection center axis of the fuel stream injected therefrom is slanted with respect to the center reciprocation axis of the piston. The piston is disposed in the combustion chamber to move along a cylinder center axis. The piston has a top surface having a first outer cavity having a first cavity center axis, and a second inner cavity located in the outer cavity. The second inner cavity has a second cavity center axis offset from the cylinder center axis of the piston in a direction perpendicular to the cylinder center axis.