Method and system for supplying fuel to an engine at engine start

The fuel supply system includes the injectors (2) for directly injecting the fuel, pressurized by a high-pressure fuel pump (3), into the respective combustion chambers of an internal combustion engine (1). An auxiliary power unit is connected with the high-pressure fuel pump to drive the high-pressure fuel pump or assist a drive torque to the high-pressure fuel pump : An independent claim is also included for a fuel supply method.