Abstract: The present invention discloses a medium-pressure hydrocracking process able to simultaneously produce products such as qualified gasoline, kerosene, diesel, etc.. Based on the prior medium-pressure hydrocracking process, the present invention uses a fresh hydrogen resource and a hydrosaturation catalyst with reduced metals of group VIB and/or group VIII as the active components to selectively and deeply hydrosaturate the jet fuel and/or diesel cuts derived in the medium-pressure hydrocracking, thereby allowing the quality of these cut fractions to meet the requirement of the specifications. In the present invention, a quite favorable reaction environment is created for the deep hydrosaturation of the jet fuel and/or diesel cuts with an extremely low investment by reasonable combination of the medium-pressure hydrocracking process flow, full reliance on the medium-pressure hydrocracking,, and addition of an ultra-low-pressure hydrosaturation reactor.