Sulfur trihydride (H 3 S) is a theoretically predicted high-pressure superconductor and has been experimentally confirmed to have the highest superconducting transition temperature T c . Solid H 2 S decomposition is considered as the primary source of H 3 S, however, it is complex and controversial how H 2 S is transformed into H 3 S. Herein, we employ the density functional theory augmented with many-body dispersion interactions (DFT+MBD) to study a full path of H 2 S decomposition at pressure of 20-260 GPa. We find that H 2 S starts to decompose into H 3 S and other H-S compounds from about 20 GPa, in which the MBD interactions can decrease both the phase transition pressure of H-S compounds and the reaction transition pressure of H 2 S decomposition. H 3 S 2 , H 4 S 3 , H 3 S 5 , sulfur and HS 2 are byproducts of H 2 S decomposition with increasing pressure. Our results provide a complete phase diagram of H-S compounds during H 2 S decomposition, and clarify the pressure range of each product and favored paths of H 2 S decomposition.