The present invention relates to a method for treating a feed corresponding to a pyrolysis gasoline, comprising: a) at least one stage of selective hydrogenation of the feed, referred to as HD1, b) fractionating in one or more distillation columns the effluent from stage a) in order to produce at least one light C5 cut, an intermediate C6 or C6-C7 or C6-C8 cut intended for aromatics production, a heavy C7+ or C8+ or C9+ cut intended for gasoline production, c) at least one stage of hydrodesulfurization and deep hydrogenation of the intermediate cut, referred to as HD2, d) at least one stage of alkylation of the heavy C7+, C8+ or C9+ cut consisting of a treatment on an acid catalyst allowing weighting of the sulfur compounds, e) at least one stage of distillation of the effluent from stage d), intended to produce a light fraction that can be directly used as a low-sulfur gasoline base, and a heavy C11+ or C12+ fraction rich in sulfur compounds, used as middle distillate or fuel oil.