Abstract: A process for hydrodesulfurizing an olefinic naphtha feedstock while retaining a substantial amount of the olefins, which feedstock has a T95 boiling point below 250° C. boils and contains at least 50 ppmw of organically bound sulfur and from 5% to 60% olefins, said process including (a) selective diolefin hydrogenation, under reaction conditions to convert at least 50% or 90% of the diolefins to paraffins or mono-olefins providing a pre-treated feedstock, (b) hydrodesulfurizing the pre-treated feedstock in a sulfur removal stage in the presence of hydrogen and a hydrodesulfurization catalyst, at hydrodesulfurization reaction conditions to convert at least 50% of the organically bound sulfur to hydrogen sulfide and to produce a desulfurized product stream containing from 0 ppmw to 50 ppmw organically bound sulfur, with the associated benefit of such a process providing a lower octane loss, compared to a process with a lower gas to oil ratio.