A fuel valve (1) for injecting fuel into the combustion chamber of a large two-stroke self-igniting internal engine combustion engine, with a valve needle (20) that is resiliently biased towards a valve seat (22). The effective pressure surface that causes fuel pressure to urge the valve needle (20) in the opening direction increases significantly when the valve needle (20) has lift from the valve seat (22). A supplementary effective pressure surface (29) is provided on the valve needle (20). The supplementary effective pressure surface (29) creates a force urging the valve needle (20) towards the valve seat (22) when the supplementary effective pressure surface (29) is exposed to fuel pressure. It is suggested that Fig. 2 is published with the abstract.