A process for removing organic sulfur compounds from heavy boiling range naphtha in a dual purpose reactor wherein the heavy boiling range naphtha is fed downflow over a fixed bed of hydrodesulfurization zone and then treated with hydrogen in a hydrodesulfurization catalytic distillation zone. Vapor containing hydrogen sulfide is removed between the zones. Preferably the heavy boiling range naphtha is produced by treating a full boiling range naphtha to concurrently react diolefins and mercaptans and split the light and heavy boiling range naphtha in a distillation column reactor.