Catalytic conversion of hydrogen sulfide (H2S) plays a vital role in environmental protection and safety production. In this review, recent theoretical advances for catalytic conversion of H2S are systemically summarized. Firstly, different mechanisms of catalytic conversion of H2S are elucidated. Secondly, theoretical studies of catalytic conversion of H2S on surfaces of metals, metal compounds, and single‐atom catalysts are systematically reviewed. In the meantime, various strategies which have been adopted to improve the catalytic performance of catalysts in the catalytic conversion of H2S are also reviewed, mainly including facet morphology control, doped heteroatoms, metal deposition, and defective engineering. Finally, new directions of catalytic conversion of H2S are proposed and potential strategies to further promote conversion of H2S are also suggested: including SACs, double atom catalysts (DACs), single cluster catalysts (SCCs), frustrated Lewis pairs (FLPs), etc. The present comprehensive review can provide an insight for the future development of new catalysts for the catalytic conversion of H2S.