An integrated process for the catalytic hydroprocessing of a feedstock of petroleum origin containing sulfur and the catalytic hydroprocessing of feedstock derived from biomass which process comprises the steps of: (a) passing said feedstock of petroleum origin containing sulfur together with a first hydrogen-containing stream to a first hydroprocessing zone and contacting said feedstock of petroleum origin with hydrogen in the presence of a hydroprocessing catalyst at hydroprocessing conditions to produce a first hydroprocessing zone effluent stream; (b) passing said feedstock derived from biomass together with a second hydrogen-containing stream to a second hydroprocessing zone and contacting said second hydrogen-containing stream with said feedstock of biomass origin in the presence of a hydroprocessing catalyst at hydroprocessing conditions to produce a second hydroprocessing zone effluent stream; (c) passing said first hydroprocessing zone effluent stream to a separation zone wherein the said effluent stream is separated into a hydrogen and hydrogen sulfide-containing vapor stream and a liquid petroleum product stream; (d) passing at least a portion of said hydrogen and hydrogen sulfide-containing vapor stream separated from said first hydroprocessing zone effluent stream into said second hydroprocessing zone as at least a portion of said second hydrogen containing stream; (e) passing said second hydroprocessing zone effluent stream to a separation zone wherein said effluent stream is separated into a hydrogen- and hydrogen sulfide-containing vapor stream and a liquid biomass derived product stream; and wherein the process does not include co-processing of biomass derived feedstocks with petroleum derived feedstocks. (a) passing said feedstock of petroleum origin containing sulfur together with a first hydrogen-containing stream to a first hydroprocessing zone and contacting said feedstock of petroleum origin with hydrogen in the presence of a hydroprocessing catalyst at hydroprocessing conditions to produce a first hydroprocessing zone effluent stream; (b) passing said feedstock derived from biomass together with a second hydrogen-containing stream to a second hydroprocessing zone and contacting said second hydrogen-containing stream with said feedstock of biomass origin in the presence of a hydroprocessing catalyst at hydroprocessing conditions to produce a second hydroprocessing zone effluent stream; (c) passing said first hydroprocessing zone effluent stream to a separation zone wherein the said effluent stream is separated into a hydrogen and hydrogen sulfide-containing vapor stream and a liquid petroleum product stream; (d) passing at least a portion of said hydrogen and hydrogen sulfide-containing vapor stream separated from said first hydroprocessing zone effluent stream into said second hydroprocessing zone as at least a portion of said second hydrogen containing stream; (e) passing said second hydroprocessing zone effluent stream to a separation zone wherein said effluent stream is separated into a hydrogen- and hydrogen sulfide-containing vapor stream and a liquid biomass derived product stream; and wherein the process does not include co-processing of biomass derived feedstocks with petroleum derived feedstocks.