A process for the discharge of slag and ash from a gasification reactor is disclosed. These solids are directed from the gasification reactor into a water bath housed with the gasification reactor in a pressure vessel. There are at least two lock hoppers underneath the water bath which are fed with a stream of water/solids via a pipe and a flow divider element, it being possible to supply the lock hoppers individually and in a controlled manner with a stream of water/solids via shut-off devices. The filling is performed in a manner that encourages the sett-ling process by withdrawing a stream of liquid from the lock hopper being filled, the filling time being controlled so as to prevent the solids settling above the valves and lock hoppers. Also disclosed is an apparatus with at least two lock hoppers underneath the water bath of a gasification reactor, there being, in an advantageous embodiment, a flow divider element and shut-off devices between the water bath and the lock hoppers.