The invention relates to a preparation method of a porous compound desulfurization agent for removing organic sulfides in natural gas. The adsorbent adopts a metal organic framework material prepared from zinc salt and dicarboxylic acid ligand, so that the adsorbent has the advantages of stable structure and high porosity; after the adopted copper is modified, copper has excellent adsorption to sulfides; the adsorption selectivity and the adsorption capacity can be improved on the basis that the advantage of stability is retained; in addition, the adsorbent takes active carbon as a carrier, so that the active carbon plays an important role in prevention of damage of sulfides to the structure of the metal organic framework material and improvement of the adsorption capacity, so that the desulfurization agent is high in selectivity on sulfides, high in capacity, simple in equipment and low in investment, and has a good application prospect.