A fuel injection equipment for an internal combustion engine is piloted by a central electronic unit, the equipment includes a piloted low pressure pump drawing the fuel from a low pressure tank and sending the fuel toward a piloted inlet valve controlling the inlet of a high pressure pump which pressurizes the fuel and sends it pressurized toward a manifold to which is connected at least one injector. The equipment also includes a high pressure accumulator, distinct from the manifold, and a piloted high pressure valve in fluid communication between the outlet of the high pressure pump and the manifold so that the high pressure accumulator stores and delivers pressurized fuel to the manifold.