A fuel valve for injecting fuel into the combustion chamber of a large two-stroke self-igniting internal engine combustion engine, said fuel valve comprising: an elongated valve housing with a rear end and a front end, a hollow nozzle with a first axial bore, a plurality of nozzle holes and a closed front, said nozzle being arranged at the front end of said valve housing, an axially displaceable valve needle slidably received in a second axial bore in said valve housing, said valve needle being configured to control the flow of fuel to the nozzle, said valve needle cooperates with a valve seat in said valve housing and said valve needle being resiliently biased towards said valve seat by a resilient bias, a pressure chamber arranged in said valve housing upstream of said valve seat surrounds a portion of said valve needle and is connected to a fuel inlet port in said valve housing, said valve needle allowing flow of fuel from said pressure chamber to said nozzle when said valve needle has lift from said valve seat and said valve needle preventing flow of fuel from said pressure chamber to said nozzle when said valve needle rests on said valve seat, said valve needle when resting on said valve seat having a first effective pressure surface that under influence of fuel pressure causes a first force on said valve needle opposing said resilient bias, said force causing said valve needle to lift from said valve seat when a pressure in said pressure chamber exceeds a preset pressure threshold, said valve needle when having lift from said valve seat having an additional second effective pressure surface that under influence of fuel pressure causes an additional second force on said valve needle opposing said resilient bias when the valve needle has lift from said valve seat, said valve needle being provided with a third effective pressure surface that under influence of fuel pressure causes a third force on said valve needle joining said resilient bias when said valve needle has lift from said valve seat, said third effective pressure surface facing a second pressure chamber that is defined between said valve needle and said valve housing, characterized in that said second pressure chamber is defined by a third axial bore in said valve needle and a plunger that is received in said third axial bore, said first plunger being static and said plunger sealingly fitting inside said third axial bore, or in that said second pressure chamber is defined by a fourth axial bore in said valve housing and a second plunger that is received in said fourth axial bore, said second plunger being part of the valve needle and said plunger sealingly fitting inside said fourth axial bore. an elongated valve housing with a rear end and a front end, a hollow nozzle with a first axial bore, a plurality of nozzle holes and a closed front, said nozzle being arranged at the front end of said valve housing, an axially displaceable valve needle slidably received in a second axial bore in said valve housing, said valve needle being configured to control the flow of fuel to the nozzle, said valve needle cooperates with a valve seat in said valve housing and said valve needle being resiliently biased towards said valve seat by a resilient bias, a pressure chamber arranged in said valve housing upstream of said valve seat surrounds a portion of said valve needle and is connected to a fuel inlet port in said valve housing, said valve needle allowing flow of fuel from said pressure chamber to said nozzle when said valve needle has lift from said valve seat and said valve needle preventing flow of fuel from said pressure chamber to said nozzle when said valve needle rests on said valve seat, said valve needle when resting on said valve seat having a first effective pressure surface that under influence of fuel pressure causes a first force on said valve needle opposing said resilient bias, said force causing said valve needle to lift from said valve seat when a pressure in said pressure chamber exceeds a preset pressure threshold, said valve needle when having lift from said valve seat having an additional second effective pressure surface that under influence of fuel pressure causes an additional second force on said valve needle opposing said resilient bias when the valve needle has lift from said valve seat, said valve needle being provided with a third effective pressure surface that under influence of fuel pressure causes a third force on said valve needle joining said resilient bias when said valve needle has lift from said valve seat, said third effective pressure surface facing a second pressure chamber that is defined between said valve needle and said valve housing, characterized in that said second pressure chamber is defined by a third axial bore in said valve needle and a plunger that is received in said third axial bore, said first plunger being static and said plunger sealingly fitting inside said third axial bore, or in that said second pressure chamber is defined by a fourth axial bore in said valve housing and a second plunger that is received in said fourth axial bore, said second plunger being part of the valve needle and said plunger sealingly fitting inside said fourth axial bore.