bore 11 in the nozzle holder 12 and the upper face of medium pressure piston 34 the bore 17 in the nozzle body 10 joins with a high pressure chamber 22 which is defined at the top by a face of a displaceably supported high pressure piston 24 a closing spring 25 is disposed in the high pressure chamber 22 and is supported at the top by the chamber defining face of the high pressure piston 24 and at the bottom on a collar 26 rigidly secured to the valve needle 16 in chamber 22 in the vicinity of the high pressure chamber 22 the valve needle 16 has a pressure shoulder 28 which is adjoined by an end section 29 of the valve needle having a larger diameter this end section 29 centrally penetrates the high pressure piston 24 and is displaceably guided therein with the least possible play the end section 29 of value needle 16 is defined by an end face 30 which in the illustrated closing position of the valve needle 16 is remote from the bore end face 20 by a distance h g corresponding to the total stroke at the flat end the valve needle 16 is provided with a plurality of peripheral recesses 31 which in the illustrated valve needle position at the end of the stroke enables the fuel to flow.