The invention describes a two-step process for hydrotreatment of a feed derived from a renewable source, comprising: a) a first step, termed a mild pre-hydrogenation step, operating in the presence of a first, metallic, catalyst comprising an active hydrodehydrogenating phase constituted by at least one metal from group VIII and/or at least one metal from group VIB and an amorphous mineral support; and b) a second step, termed the second treatment step, operating in the presence of a second, sulphurized, catalyst comprising an active hydrodehydrogenating phase constituted by at least one non-noble metal from group VIII and/or at least one metal from group VIB and an amorphous mineral support.