A process for the production of gasoline with a low sulfur content that
comprises at least one selective hydrogenation of diolefins, optionally
at least one stage for transformation, preferably to increase their
weight, for light sulfur-containing compounds that are present in the
gasoline, at least one fractionation of the gasoline that is obtained
into at least two fractions: light gasoline and heavy gasoline, then
optionally a stage for transformation, preferably for alkylation or
adsorption, of sulfur-containing compounds and a desulfurization
treatment in a stage of at least a portion of the heavy fraction.