The present application relates to a method for treating a petrol containing sulphur compounds, olefins and diolefins, the method comprising the following steps: a) a step of hydrodesulphurisation in the presence of a catalyst comprising an oxide support and an active phase comprising a group VIB metal and a group VIII metal from, b) a step of hydrodesulphurising at least one portion of the effluent from step a) at a higher hydrogen flow rate/feed ratio and a temperature higher than those of step a) without removing the H2S formed in the presence of a catalyst comprising an oxide support and an active phase consisting of at least one group VIII metal, c) a step of separating the H2S formed in the effluent from step b).