diesel production proceeds by hydrocracking to moderate pressure

The invention concerns a moderate pressure hydrocracking method (that is partial hydrogen pressure higher than 70 bars up to a maximum of 100 bars) with conversion of at least 80 % by volume, of a feedstock having a temperature T5 ranging between 250 and 400 DEG C and a temperature T95 of not more than 470 DEG C (T5 and T95 measured according to ASTM-D2887), so as to produce a diesel fuel having a 95 % distillation point less than 360 DEG C, a sulphur content of not more than 50 ppm and a cetane index higher than 51. The method operates with or without recycling the liquid effluent. It can advantageously be integrated in a refinery configuration comprising catalytic cracking. The invention also concerns an installation for implementing said method.