The main shortcoming of single-stage hydrocracking is the very high level of feedstock cracking. The authors discuss the development of multistage technology in which each stage can operate under optimal conditions at a moderate conversion level, better flexibility in process control, and better process indexes. The main feature of the multistage technology is the preliminary hydrogenation of the original feed. The composition of the original feed and the middle distillate cuts obtaining in two-stage hydrocracking of a vacuum distillate from West Siberian crude, using cobalt-molybdenum oxide catalyst in the first stage and a zeolitic catalyst in the second stage is presented. Data is provided on the influence of pressure on the hydrocracking indexes.