The invention relates to a method for treating a hydrocarbons charge comprising the following stages, in which: a) the charge is brought into contact with a solvent in order to obtain a deasphalted effluent having a content of asphaltenes below 3000 ppm by weight, b) the deasphalted effluent is cracked in the presence of hydrogen and a hydrocracking catalyst, in a bubbling-bed reactor, so as to convert at least 50 wt. % of the fraction of the deasphalted effluent boiling above 500° C. to compounds having a boiling point below 500° C., c) the effluent from stage b) is fractionated to recover gasolines, kerosene, gas oils and a first residue, and d) at least a portion of this first residue is cracked so as to obtain an effluent comprising gasolines, kerosene, gas oils and a second residue.