The invention relates to a reactor (1) and a method for continuously producing H2S by reacting a feedstock mixture essentially containing gaseous sulfur and hydrogen on a catalyst. The reactor (1) comprises a sulfur melt (9), at least in a bottom subarea (8) of the reactor (1) into which gaseous hydrogen is introduced. The catalyst is arranged in at least one U-shaped tube (21) that is in partial contact with the sulfur melt (9). The at least one U-shaped tube (21) has at least one inlet (23) on a leg (26) above the sulfur melt (9), the feedstock mixture being able to penetrate from a feedstock zone (10) of the reactor (1) into the U-shaped tube (21) through the inlet (23). The at least one U-shaped tube (21) also has an internal flow path, along which the feedstock mixture can be reacted in a reaction zone containing the catalyst (22), and at least one outlet (24) in another leg (27), a product being able to be discharged into a product zone (7) through the outlet (24).