A process for the removal of sulfur compounds from a feed stream. A first separation zone removes sulfur compounds and produces a partially cleaned stream. A first adsorption zone adsorbs the remaining organic sulfur compounds on a regenerable adsorbent a produces a treated gas stream. A portion of the treated gas stream may regenerate the adsorbent in the first adsorption zone by removing organic sulfur compounds. The organic sulfur compound rich stream can be passed to a non-regenerable adsorption zone. The non-regenerable adsorption zone will separate out the organic sulfur compounds and provide a re-treated gas stream which may be recycled to a portion of the process. The non-regenerable adsorption zone may include regenerable adsorbent, but the zone is not operated to regenerate the adsorbent while it is in the non-regenerable adsorption zone.