The invention discloses a catalyst for removing hydrogen sulfide in biogas and preparation and usage method thereof. The preparation method of the catalyst comprises the following steps that ferric acetylacetonate and elemental sulfur are put in an ultrasonic chemical solvent, distilled water is added, n-hexane is added after ultrasonic processing, standing is performed, and the obtained product is subjected to centrifugal washing and drying. The usage method of the catalyst comprises the following steps that biogas passes through a filling column filled with the catalyst, the temperature of the filling column is controlled to be 200-650 DEG C, reaction pressure is 1.0-5.0atm, and the volume air speed of the biogas to the catalyst is 400-1800 h<-1>. The catalyst has the high hydrogen sulfide conversion rate without oxygen adding for the biogas, the heat value of the biogas can be improved, elemental sulfur is recycled, and the catalyst is safe and reliable.