To provide a metal touch type fuel pipe connection structure for a direct-injection internal combustion engine having high sealing performance.

The fuel pipe connection structure for direct injection of alcohol or gasoline containing alcohol as fuel is of a type that a counter part is formed on an outer peripheral surface of an end with an outer screw and with a pressure receiving seat face opening outward, a pressure head having a pressure seat face of a spherical shape or curved surface shape is formed at an end of a fuel pipe comprised of a steel pipe or a stainless steel pipe and a pressure receiving surface on a back of the head is pressed by a cap nut screwed with the outer screw to make a seal by only elastic deformation of the pressing seat surface. Surface roughness Ra of the pressure seat face of the spherical shape or curved surface shape of the pressure head of the fuel pipe and preferably a nut bearing face of the back of the head is set to be not larger than 0.4 μm.