Biogas is one of the most promising renewable sources of energy. However, it is also a gas mixture containing acidic gases, such as H₂S, useless for energetic purposes, environmentally harmful and damaging for energy conversion devices. This review focuses on nanoporous materials as adsorbents of H₂S for biogas purification processes. Cation-exchanged zeolites and impregnated activated carbons have been thoroughly studied since many years for this application, providing good results, in particular for what concerns activated carbons, despite having a limited regenerability. Amino-functionalized ordered mesoporous silicas produced very interesting results, both in terms of adsorption performances and regeneration capacity, but they are largely untested in large-scale “real-life” applications, and deserve further investigations, in particular for H₂S and CO₂ discrimination. On the contrary, despite reporting very good results, there are only few papers dealing with H₂S adsorption on nanoporous metal organic frameworks.