A process for producing lubricating oil base stock from a feedstock having a VI of less than 80 to a base stock with a VI of at least 90 with the same boiling range as the feedstock. The feedstock is contacted with a zeolite-containing hydrocracking catalyst in a first zone and an amorphous hydrocracking catalyst in the second zone. Between 25 percent and 75 percent of all hydroconversion takes place in the first zone.