A fuel injection valve for an internal combustion engine, having a nozzle body which receives a nozzle needle, wherein into the nozzle body at least one fuel feed line is introduced, which opens into a pressure chamber of the nozzle body surrounding the nozzle needle in portions, having a nozzle holder, wherein into the nozzle holder at least one fuel feed line is introduced, which communicates with a respective fuel feed line of the nozzle body directly or indirectly via a respective coolant feed line of an intermediate piece, having a clamping nut, via which the nozzle bodies and nozzle holders are axially clamped either directly or indirectly via the intermediate piece while sealing front faces (11a, 12a) lying against one another, into the nozzle body and into the nozzle holder and into the optional intermediate piece inter-communicating coolant feed lines and coolant discharge lines are introduced, via which for cooling the nozzle body coolant can be fed to the nozzle body and discharged from the nozzle body, on the front face of the nozzle body and/or on the front face of the nozzle holder adjoining the front face of the nozzle body or of the intermediate piece an outer sealing face and at least one inner sealing face separated from the outer sealing face by at least one recess is formed, wherein the respective inner sealing face seals the respectively communicating fuel feed lines (15, 17) in the region of the front faces (11a, 12a) adjoining one another, and wherein the respective outer sealing face seals the respective communicating coolant lines (22, 23) in the region of the adjoining front faces (11a, 12a), characterised in that in particular when nozzle body and nozzle holder are directly clamped axially, the outer sealing face and the respective inner sealing face are formed on the front face of the nozzle body, which directly adjoins the front face of the nozzle holder, in that in particular when nozzle body and nozzle holder are indirectly clamped axially via the intermediate piece, the respective outer sealing face and the respective inner sealing face are formed on the front face of the nozzle body which directly adjoins a first front face of the intermediate piece, and a second front face of the intermediate piece located opposite, which directly adjoins the front face of the nozzle holder, and in that in particular when nozzle body and nozzle holder are indirectly clamped axially via the intermediate piece, on a first front face of the intermediate piece, which directly adjoins the front face of the nozzle body and on a second front face of the intermediate piece located opposite, which directly adjoins the front face of the nozzle holder, the outer sealing face and the respective inner sealing face are formed in each case. having a nozzle body which receives a nozzle needle, wherein into the nozzle body at least one fuel feed line is introduced, which opens into a pressure chamber of the nozzle body surrounding the nozzle needle in portions, having a nozzle holder, wherein into the nozzle holder at least one fuel feed line is introduced, which communicates with a respective fuel feed line of the nozzle body directly or indirectly via a respective coolant feed line of an intermediate piece, having a clamping nut, via which the nozzle bodies and nozzle holders are axially clamped either directly or indirectly via the intermediate piece while sealing front faces (11a, 12a) lying against one another, into the nozzle body and into the nozzle holder and into the optional intermediate piece inter-communicating coolant feed lines and coolant discharge lines are introduced, via which for cooling the nozzle body coolant can be fed to the nozzle body and discharged from the nozzle body, on the front face of the nozzle body and/or on the front face of the nozzle holder adjoining the front face of the nozzle body or of the intermediate piece an outer sealing face and at least one inner sealing face separated from the outer sealing face by at least one recess is formed, wherein the respective inner sealing face seals the respectively communicating fuel feed lines (15, 17) in the region of the front faces (11a, 12a) adjoining one another, and wherein the respective outer sealing face seals the respective communicating coolant lines (22, 23) in the region of the adjoining front faces (11a, 12a), characterised in that in particular when nozzle body and nozzle holder are directly clamped axially, the outer sealing face and the respective inner sealing face are formed on the front face of the nozzle body, which directly adjoins the front face of the nozzle holder, in that in particular when nozzle body and nozzle holder are indirectly clamped axially via the intermediate piece, the respective outer sealing face and the respective inner sealing face are formed on the front face of the nozzle body which directly adjoins a first front face of the intermediate piece, and a second front face of the intermediate piece located opposite, which directly adjoins the front face of the nozzle holder, and in that in particular when nozzle body and nozzle holder are indirectly clamped axially via the intermediate piece, on a first front face of the intermediate piece, which directly adjoins the front face of the nozzle body and on a second front face of the intermediate piece located opposite, which directly adjoins the front face of the nozzle holder, the outer sealing face and the respective inner sealing face are formed in each case.